Question

A simple pendulum oscillates in a vertical plane. the string is $3$ times the weight of the pendulum Find the maximum displacement.

Answer 1

$T=3mg$ (given)

as we know that $T=3mg(1+cosA)$

so,

$3mg=3mg(1+cosA)$

$1=1+cosA$

$0=cosA$

$cos90=cosA$

$A=90$

Hence,maximum displacement of the string of the pendulum with respect to the vertical will be at an angle of 90 degree.