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Question

A stone tied to an inextensible string of length l=1 m is kept horizontal. If it is released, find the angular speed (rad/s) of the stone when the string makes an angle θ=30 with horizontal.

A
3.16
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B
3
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C
2.28
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D
4.16
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Solution

The correct option is A 3.16
From Diagram
at=gcosθ
α1=gcosθ
α=gcosθ
ωdωdθ=gcosθ
ω0ωdω=30000gcosθdθ
ω22=[gsinθ]300
ω22=g[120]
ω22=g[12]
ω2=gω=g=10

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