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A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane (see the 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 a angle θ with the vertical, is

(a) 2g/3l sin  θ

(b) 3g/2l cos  θ

(c) 2g/3l cos  θ

(d) 3g/2l sin  θ

1 Answer

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Best answer

Correct Option (d) 3g/2l sin  θ

Explanation: 

As the rod rotates in vertical plane so a torque is acting on it, which is due to the vertical component of weight of rod.
 α =   angular acceleration

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