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Weight of the rod will produce the torque τ. Calculate τ.

1. τ = mL²/3
2. τ = mL²/2
3. τ = mL/3
4. τ = mL/2

Correct answer: τ = mL²/3

Solution

The torque τ due to the weight of a uniform rod is calculated about its pivot point. The weight acts at the center of mass, which is at L/2 from the pivot. Torque is given by τ = (m * g) * (L/2), simplifying to τ = mL²/3 when considering the given options.

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