The moment of inertia of a body depends on
Correct answer: B. its mass and how that mass is distributed about the axis of rotation
- A. its mass only
- B. its mass and how that mass is distributed about the axis of rotation
- C. its angular speed
- D. the torque applied to it
Explanation
Moment of inertia is the sum of each mass element multiplied by the square of its distance from the axis, so moving mass further out increases it sharply even when the total mass is unchanged. This is why a hollow cylinder has a larger moment of inertia than a solid one of the same mass. It plays the same role in rotation that mass plays in linear motion.
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About Angular Velocity
Angular velocity describes how quickly angular displacement changes with time, with ω = Δθ/Δt and units of radians per second. Questions relate angular and linear motion through v = rω, use the direction given by the right hand rule, and distinguish angular velocity from angular acceleration and ordinary frequency.
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