Q.

One end of a straight uniform 1 m long bar is pivoted on horizontal surface. It is released from rest when it makes an angle 30° from the horizontal (see figure). Its angular speed when it hits the table is given as ns−1 where n is an integer. The value of n is ________

Moderate

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By Expert Faculty of Sri Chaitanya

answer is 15.

(Detailed Solution Below)

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Detailed Solution

From mechanical energy conservation, we get     Ui+Ki=Uf+Kf⇒mgl2sin⁡30∘+0=0+12Iω2⇒mg1212+0=0+12m(1)23ω2⇒ω2=3g2=15⇒ω=15⇒n=15
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