Answer: M(a²+b²)/12.
- A M(a²+b²)/12
- B M(a²+b²)/4
- C Ma²b²/12
- D M(a+b)²/12
Correct answer: A. M(a²+b²)/12
Explanation: I<sub>z</sub> = M(a² + b²)/12. By perpendicular axis theorem: I<sub>z</sub> = I<sub>x</sub> + I<sub>y</sub> = Mb²/12 + Ma²/12.
Torque about axis O equals the force F multiplied by the perpendicular distance r⊥ from the axis to the line of action of the force, producing rotation.
Concept context
Moment of inertia, torque, angular momentum, rolling motion. Very high JEE weightage.
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