Question

A simple pendulum oscillates in a vertical plane when it passes through a mean position the tension in the string is three times the weight of the pendulum bob what is the maximum displacement of the pendulum with respect to the vertical

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 wit respect to the vertical will be at an angle of 90 degree.