A stone tied to an inextensible string of length l=1m 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 A3.16 From Diagram at=gcosθ α⋅1=gcosθ α=gcosθ ωdωdθ=gcosθ ∫ω0ωdω=∫30000gcosθdθ ω22=[gsinθ]300 ω22=g[12−0] ω22=g[12] ω2=gω=√g=√10