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Q.

A simple pendulum of length ‘l’ has a bob of mass ‘m’. If it is released when the string makes an angle60° with the vertical, the tension in the string at the lowest position is

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a

52mg

b

32mg

c

2 mg

d

3mg

answer is C.

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Detailed Solution

v2=v022gl(1cosθ)

v=0

v02=2gl(1cosθ)

v0=2gl(1cos60°)

θ=60°

v0=2gl×12

v0=gl

T=mv2l+mgcosθ

θ=0°

T=(mgl)2l+mgcos0°

T=mgll+mg=2mg

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