ROTATIONAL MOTION

What is the relationship between moment of inertia (I), mass (M), and radius of gyration (k)?

• I = M/k²
• I = Mk²
• I = M²k
• I = k²/M

What is the dimensional formula of moment of inertia?

• [MLT⁻²]
• [ML²]
• [M²L]
• [ML⁻²]

Which factor does NOT affect the moment of inertia of a rigid body?

• Mass of the body
• Linear velocity of the body
• Distribution of mass about the axis
• Position of the axis of rotation

What is the moment of inertia of a pair of masses, each of mass M/2, separated by a distance l and rotating about an axis through their center of mass perpendicular to the rod?

• Ml²/2
• Ml²/3
• Ml²/6
• Ml²/4

How is the kinetic energy of a rotating thin ring expressed in terms of angular velocity ω?

• ½ MRω
• MR²ω²
• ½ MR²ω²
• MgR