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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 an angle θ with the vertical, is

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 an angle θ with the vertical, is

Grade:12th pass

1 Answers

Arun
25758 Points
4 years ago
Dear Satendra
 
Taking torque about pivot T = I * \large \alpha
 
mg sin (theta) * l/2 = ml² * \large \alpha/3
 
\large \alpha = 3g sin (theta) /2l
 
Hence option D is correct
 

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