Question

A rigid body rotates about a fixed axis under a constant moment (M). If the Mass Moment of Inertia (I) of the body is doubled while the moment remains the same, the angular acceleration ($\alpha$) will

• A. double
• B. remain the same
• C. be halved
• D. quadruple

Hint:

Moment of inertia is the rotational analog of mass.
Just as doubling the mass halves the linear acceleration for a constant force ($a = F/m$), doubling the moment of inertia halves the angular acceleration for a constant torque ($\alpha = M/I$).

Answer 1

The Correct Option is C