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A pendulum is oscillating in a vertical plane. The acceleration at the extreme position and lowest position are equal. Then the angular amplitude of the pendulum is

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By Expert Faculty of Sri Chaitanya
a
tan−12
b
tan−12
c
tan−11/2
d
2tan−112

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detailed solution

Correct option is D

acceleration at the extreme position gsinθ  and lowest position v2l . gsinθ=v2l From conservation of energy  12mv2=mgl1−cosθmv2l=2mg1−cosθgsinθ=2g1−cosθsinθ=4sin2θ22sinθ2cosθ2=4sin2θ2tanθ2=12θ2=tan−112θ=2tan−112


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A pendulum of length / = l m is released from θ0 = 600. The rate of change of speed of the bob at θ = 300 is (g = 10 m/s2)

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