A 20 kg solid disc rolls on a horizontal surface at the rate of 4 ms-1. Its total kinetic energy is 

1.  60 J

2.  120 J

3.  240 J

4.  80 J

Concept Questions :-

Rolling motion
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A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches the bottom?

1.  57g sin θ

2.  35g sin θ

3.  27g sin θ

4.  25g sin θ

Concept Questions :-

Rolling motion
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From a uniform square plate of side a and mass m, a square portion DEFG of side a2 is removed. Then, the moment of inertia of the remaining portion about the axis AB is

                

1.  7 ma216

2.  3 ma216

3.  3 ma24

4.  9 ma216

Concept Questions :-

Moment of inertia
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Two bodies having masses m1 and m2 and velocities u1 and u2 collide form a composite system. If m1u1 + m2u2 = (m1 m2), the velocity of composite system will be

1.  u1 - u2

2.  u1 + u2

3.  u1 + u22

4.  Zero

Concept Questions :-

Linear momentum
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Centre of the mass of 3 particles 10 kg, 20kg, and 30kg is at (0.0,0). Where should a particle of mass 40 kg be placed so that the combined center of mass will be at (3, 3, 3)?

1.  (0, 0, 0)

2.  (7, 5, 7, 5, 7, 5)

3.  (1, 2, 3)

4.  (4, 4, 4)

Concept Questions :-

Center of mass
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The position of a particle is given by: r = 1^+2j^-k^ and momentum P = 3i^ + 4j^- 2k^. The angular momentum is perpendicular to

1.  X-axis

2.  Y-axis

3.  Z-axis

4.  Line at equal angles to all the three axes

Concept Questions :-

Angular momentum
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A body falling vertically downward under gravity breaks into two parts of unequal messes. The center of mass of the parts taken together shifts horizontally towards

1.  heavier piece 

2.  lighter piece 

3.  does not shift horizontally 

4.  depends on the vertical velocity at the time of breaking 

Concept Questions :-

Center of mass
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A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about O

             

1.  mvL

2.  mvl

3.  mvr

4.  0

Concept Questions :-

Angular momentum
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A solid sphere, disc, and solid cylinder all Of the same mass and made up Of same material are allowed to roll down (from rest) on an inclined plane, then

1.  Solid sphere reaches the bottom first

2.  Solid sphere reaches the bottom late

3.  The disc will reach the bottom first

4.  All of them reach the bottom at the same time

Concept Questions :-

Rolling motion
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If the angular momentum of a rotating body about a fixed axis is increased by 10%, its kinetic energy will be increased by

(1) 10%                  (2) 20%              (3) 21%                       (4) 5%

 

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