ROTATIONAL MOTION

Where is the center of mass located in a sphere of uniform density?

• At the geometric center
• On the surface
• At the topmost point
• Outside the sphere

How is the kinetic energy of a system of particles expressed in terms of center of mass motion?

• K = K' + V
• K = K' + (1/2)MV²
• K = (1/2)MV² only
• K = K' + M²V

What condition ensures zero gravitational torque on a body?

• When mass is zero
• When gravity is zero
• When it is supported at its center of gravity
• When angular velocity is zero

How does variation in gravitational field affect the center of gravity?

• It has no effect
• It makes them identical
• It causes the center of gravity to differ from the center of mass
• It reduces mass

What is the direction of the angular velocity vector?

• Tangential to the path
• Radially outward
• Along the axis of rotation following the right-hand rule
• Opposite to force