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Q.

A simple pendulum oscillates in a vertical plane. When it passes through the bottommost point, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum of the string with respect to the vertical?

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a

300

b

450

c

600

d

900

answer is D.

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Detailed Solution

At mean position,   mg+mv2r=3mg⇒v=2gl     …(i)and if the body displace by angle θ with the vertical, thenv=2gl(1-cosθ)                                       …(ii)On comparing Eqs. (i) and (ii), we getcosθ=0⇒θ=90°
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