• #### 1.  A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?

• Moment of inertia
• Angular momentum
• Angular velocity
• Rotational kinetic energy
• #### 2.  A particle moves on a circular path with decreasing speed. Choose the correct statement.

• Angular momentum remains constant.
• Acceleration is towards the centre.
• Particle moves on a spiral path with decreasing radius.
• The direction of angular momentum remains constant.

• 1 m/s
• 2 m/s
• 4 m/s
• 8 m/s
• #### 4.  A hollow cylinder and a solid cylinder having different mass diameter are released from rest simultaneously from the of an inclined plane. Which will reach the bottom first?

• solid cylinder
• cant be determined without knowing their masses
• hollow cylinder
• cant be determined without knowing their diameters

• t = I a
• F = ma
• L = I w
• I = t a

• t = Ia
• t = Iw
• I = tw
• a = Iw
• #### 7.  A dancer on ice spins faster when she folds here arms. This is due to

• Increases in energy and increase in angular momentum
• Decrease in friction at the skates
• Constant angular momentum and increase in kinetic energy
• Increase in energy an decreases in angular momentum
• #### 8.  The moment of inertia of a uniform semicircular disc of mass M and radius about a line perpendicular to the plane of the disc through the centre is

• (2/5) Mr²
• (1/4) Mr power 2
• (1/2) Mr²
• Mr²

• 3 m/s
• 4 m/s
• 5 m/s
• Zero

• 40%
• 20%
• 10%
• 21%
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