Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question

Question

The resultant torque (τ) acting on a rigid body is related to its moment of inertia (I) and its angular acceleration (α) by which equation?
Options
A τ = I / α
B τ = ½ I α²
C τ = I α
Correct Answer
D τ = α / I
Correct Answer

Option C is the correct answer.

Detailed Explanation

This is the rotational analogue of Newton's second law (F = ma). It states that the net torque acting on a rigid body is equal to the product of its moment of inertia and its angular acceleration: τ = I α.

Hint

Consider how torque in rotational motion is analogous to force in linear motion.

Question Info