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Question

A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical pane (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 


Your Answer
A
2g3lcosθ
Correct Answer
B
3g2lsinθ
Your Answer
C
2g3lsinθ
Your Answer
D
3g2lcosθ

Solution

The correct option is B 3g2lsinθ
τ=Iα=F×rMl23×α=mgsinθ×l2
α=3gsinθ2l

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