Question

A small mass m and its supporting wire become a simple pendulum when the horizontal cord is cut. Find the ratio of the tension in the supporting wire immediately after the cord is cut to the tension in the wire before the cord is cut.

Answer 1

$T_1\cos \theta =mg$.

$T_1=\frac{mg}{\cos \theta }$

$\frac{T_1}{T_3}=\frac{mg}{\cos \theta mg\cos 0^0}$

$\frac{T_1}{T_3}=\frac{1}{{\cos }^2\theta }$