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Q.

A simple pendulum with length L and mass m of the bob is oscillating with an  amplitude A. The maximum tension in the string is

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a

mg

b

mg1+AL2

c

mg1+A2L2

d

mg1+AL2

answer is B.

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Detailed Solution

T−mgcos⁡θ=mv2LT is maximum when θ=0,Tmax−mg=mvmax2LTmax=mg+mω2A2L=mg+mgA2L2∵ω2=gLTmax=mg1+A2L2
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A simple pendulum with length L and mass m of the bob is oscillating with an  amplitude A. The maximum tension in the string is