1 - A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is ___________________?
1 - A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is ___________________?
200 J
2 - A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is_____________________?
2 - A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is_____________________?
44989
3 - A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is___________________?
3 - A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is___________________?
45147
4 - A block in the shape of a parallelopiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives maximum stable block ?
4 - A block in the shape of a parallelopiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives maximum stable block ?
2 m x 3 m
5 - A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will____________________?
5 - A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will____________________?
meet after 10 sec
6 - A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are____________________?
6 - A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are____________________?
1346.3 kN and 1250 kN
7 - A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan”1 x, where x is (Assume g = 10 m/sec2)_____________________?
7 - A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan”1 x, where x is (Assume g = 10 m/sec2)_____________________?
45054
8 - A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is___________________?
8 - A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is___________________?
n/2 rpm
9 - A cube on a smooth horizontal surface___________________?
9 - A cube on a smooth horizontal surface___________________?
can be in any of these states
10 - A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?
10 - A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?
less than (1/3) tan 0
11 - A flywheel of moment of inertia 20 kg-m” is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian persecond is__________________?
11 - A flywheel of moment of inertia 20 kg-m” is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian persecond is__________________?
44987
12 - A funicular polygon cannot be made to pass through___________________?
12 - A funicular polygon cannot be made to pass through___________________?
more than three specified points
13 - A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?
13 - A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?
4 J
14 - A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight
14 - A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight
44929
15 - A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a_____________________?
15 - A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a_____________________?
parabola
16 - A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is____________________?
16 - A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is____________________?
0.75 m
17 - A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?
17 - A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?
3.14 m/sec
18 - A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?
18 - A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?
12 m/sec
19 - A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?
19 - A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?
9.0 J
20 - A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?
20 - A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?
44930
21 - A quantity whose dimensions are M2L2 T3 could be the product of_________________?
21 - A quantity whose dimensions are M2L2 T3 could be the product of_________________?
mass and power
22 - A rigid body is in a stable equilibrium if the application of any force__________________?
22 - A rigid body is in a stable equilibrium if the application of any force__________________?
can raise the CG of the body but can not lower it
23 - A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is_______________?
23 - A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is_______________?
109.5 mm from A
24 - A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the fa
24 - A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the fa
30 m/sec
25 - A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an
25 - A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an
44990
26 - A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be___________________?
26 - A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be___________________?
E/2
27 - A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes____________________?
27 - A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes____________________?
4E
28 - A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?
28 - A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?
(2/3) g sin 0
29 - A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?
29 - A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?
(5/7) g sin0
30 - A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?
30 - A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?
sphere with lesser rotational energy at bottom than cylinder
31 - A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?
31 - A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?
15°
32 - A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in________________?
32 - A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in________________?
10 sec
33 - A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the sec
33 - A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the sec
25 m/sec
34 - A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is_____________________?
34 - A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is_____________________?
8TC
35 - A system of copianar forces acting on a rigid body can be reduced to________________?
35 - A system of copianar forces acting on a rigid body can be reduced to________________?
one force and one couple only
36 - A system of copianar forces is in equilibrium when___________________?
36 - A system of copianar forces is in equilibrium when___________________?
both force polygon” and funicular polygon close
37 - A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
37 - A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
pyramid
38 - An ordinate in a funicular polygon represents__________________?
38 - An ordinate in a funicular polygon represents__________________?
bending moment
39 - At the instantaneous center, the velocity of the moving lamina at any instant is_________________?
39 - At the instantaneous center, the velocity of the moving lamina at any instant is_________________?
zero
40 - Coefficient of friction depends on__________________?
40 - Coefficient of friction depends on__________________?
nature of surfaces only
41 - For a given velocity of a projectile, the range is maximum when the angle of projection is___________________?
41 - For a given velocity of a projectile, the range is maximum when the angle of projection is___________________?
45°
42 - For a non-concurrent force system to be in equilibrium__________________?
42 - For a non-concurrent force system to be in equilibrium__________________?
both force polygon and funicular polygon must close
43 - Force polygon method is applicable for_____________________?
43 - Force polygon method is applicable for_____________________?
concurrent copianar force system
44 - Free body diagram is an____________________?
44 - Free body diagram is an____________________?
isolated joint with all the forces, internal as well as external, acting on it
45 - If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is_____________________?
45 - If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is_____________________?
—rad/sec 30
46 - If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?
46 - If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?
proportional to A2
47 - If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?
47 - If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?
5 m/sec and 0
48 - If the angular distance, 0 = 2t3 – 3t2, the angular acceleration at t = 1 sec. is__________________?
48 - If the angular distance, 0 = 2t3 – 3t2, the angular acceleration at t = 1 sec. is__________________?
6 rad/sec2
49 - If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?
49 - If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?
maximum
50 - If the given forces P,, P2, P3 and P4 are such that the force polygon does not close, then the system will___________________?
50 - If the given forces P,, P2, P3 and P4 are such that the force polygon does not close, then the system will___________________?
always reduce to a resultant force
51 - If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to_________________?
51 - If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to_________________?
A/V2
52 - If y is force and x is velocity, then dimensions of —=r are dx2__________________?
52 - If y is force and x is velocity, then dimensions of —=r are dx2__________________?
M'L-'T0
53 - Impulse can be obtained from a_________________?
53 - Impulse can be obtained from a_________________?
force-time diagram
54 - In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively_____________________?
54 - In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively_____________________?
50 and 75
55 - In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is_____________________?
55 - In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is_____________________?
50
56 - In a simple harmonic motion, the position of equilibrium is always_________________?
56 - In a simple harmonic motion, the position of equilibrium is always_________________?
stable
57 - In SI units, the units of force and energy are respectively___________________?
57 - In SI units, the units of force and energy are respectively___________________?
Newton and joule
58 - In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics ?
58 - In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics ?
fink truss
59 - Instantaneous center is at infinity when the angular velocity is _________________?
59 - Instantaneous center is at infinity when the angular velocity is _________________?
zero
60 - It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to_________________?
60 - It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to_________________?
f2
61 - Joule is the unit of__________________?
61 - Joule is the unit of__________________?
work
62 - Minimum potential energy of a system will be in the position of________________?
62 - Minimum potential energy of a system will be in the position of________________?
stable equilibrium
63 - One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then
63 - One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then
a simple harmonic motion
64 - One Joule is equivalent to________________?
64 - One Joule is equivalent to________________?
1 Newton – metre
65 - One Newton is equivalent to_________________?
65 - One Newton is equivalent to_________________?
105 dyne
66 - Rate of change of angular momentum is equal to_______________?
66 - Rate of change of angular momentum is equal to_______________?
torque
67 - The angle of projection at which the horizontal range and maximum height of a projectile are equal to___________________?
67 - The angle of projection at which the horizontal range and maximum height of a projectile are equal to___________________?
tan-' (4)
68 - The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?
68 - The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?
76°
69 - The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be___________________?
69 - The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be___________________?
0.1 rad/sec
70 - The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is_______________?
70 - The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is_______________?
0.1 radian/sec
71 - The bending moment in an arch is proportional to___________________?
71 - The bending moment in an arch is proportional to___________________?
intercept between the arch axis and the funicular polygon
72 - The condilion for a lifting machine to be reversible is that its efficiency should be_________________?
72 - The condilion for a lifting machine to be reversible is that its efficiency should be_________________?
more than 50%
73 - The condition of equilibrium for any system of forces in a plane is____________________?
73 - The condition of equilibrium for any system of forces in a plane is____________________?
both (A) and (B)
74 - The diagram showing the point of application and line of action of forces in their plane is called____________________?
74 - The diagram showing the point of application and line of action of forces in their plane is called____________________?
space diagram
75 - The dimensions of centrifugal force are__________________?
75 - The dimensions of centrifugal force are__________________?
M'L'T2
76 - The following is in unstable equilibrium__________________?
76 - The following is in unstable equilibrium__________________?
a solid cube resting on one edge
77 - The force polygon representing a set of forces in equilibrium is a_____________________?
77 - The force polygon representing a set of forces in equilibrium is a_____________________?
closed polygon
78 - The graphical method of determining the forces in the members of a truss is based on________________?
78 - The graphical method of determining the forces in the members of a truss is based on________________?
method of joint
79 - The maximum displacement of a particle executing S.H.M. corresponds to__________________?
79 - The maximum displacement of a particle executing S.H.M. corresponds to__________________?
zero kinetic energy and maximum potential energy
80 - The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at_____________________?
80 - The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at_____________________?
supports
81 - The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is__________________?
81 - The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is__________________?
980 m
82 - The member forces in a statically in determinate truss____________________?
82 - The member forces in a statically in determinate truss____________________?
cannot be obtained by graphic statics
83 - The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are__________________?
83 - The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are__________________?
infinity
84 - The pole distance is measured in___________________?
84 - The pole distance is measured in___________________?
force scale
85 - The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________?
85 - The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________?
r2
86 - The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by__________________?
86 - The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by__________________?
0.12569444444
87 - The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is_______________?
87 - The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is_______________?
less than 1
88 - The shape of a suspended cable for a uniformly distributed load over it is__________________?
88 - The shape of a suspended cable for a uniformly distributed load over it is__________________?
parabolic
89 - The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?
89 - The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?
464 J
90 - The unit of rotational inertia of a body in C.G.S system is________________?
90 - The unit of rotational inertia of a body in C.G.S system is________________?
gm-cm2
91 - Time period and length of a seconds pendulum respectively are_________________?
91 - Time period and length of a seconds pendulum respectively are_________________?
2 sec and 99.4 cm
92 - Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between
92 - Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between
44931
93 - Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?
93 - Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?
disc with smaller density
94 - Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are____________________?
94 - Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are____________________?
3 m/sec and 2 m/sec
95 - When a body slides down an inclined surface, the acceleration of the body is given by__________________?
95 - When a body slides down an inclined surface, the acceleration of the body is given by__________________?
gsinG
96 - When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are________________?
96 - When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are________________?
circle and straight line
97 - When two forces, each equal to P, act at 90° to each other, then the resultant will be_____________?
97 - When two forces, each equal to P, act at 90° to each other, then the resultant will be_____________?
PV2
98 - Which of the following is a scalar quantity ?
98 - Which of the following is a scalar quantity ?
energy
99 - Which of the following represents the state of neutral equilibrium ?
99 - Which of the following represents the state of neutral equilibrium ?
none of the above
100 - Williot-Mohr diagram is used to determine deflection in__________________?
100 - Williot-Mohr diagram is used to determine deflection in__________________?
trusses only
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