First slide

Simple hormonic motion

Question

A thin rod of length ‘l’ is hinged at the upper end ‘O’ as shown in figure. The lower end is slightly pulled to the right and released and the rod starts oscillating in the plane of the figure. Then its time period of oscillation is _____

Moderate

Solution

$T=2π \sqrt{\frac{I_{o}}{{mgr}_{c}}} = 2 π \sqrt{\frac{\frac{1}{3} m l^{2}}{mg . \frac{l}{2}}} = 2 π \sqrt{\frac{2 l}{3 g}}$

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