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?

Question

Infinity Learn · Accepted Answer

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

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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