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A slender uniform rod of mass M and length l is pivoted at one end so that is can rotate in vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle θ with the vertical is- z x θ

1. θ sin 2 g 3 l
2. θ sin 3 g 2 l
3. θ cos 2 g 3 l
4. θ cos 3 g 2 l Students may find similar question in CP exercise sheet : [ JEE Advance, Chapter : Rotational motion, Ex.3, Page No., 36, Q. No.11 ]

Correct answer: θ sin 2 g 3 l

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