A block of mass m is suspended in a vertical plane with the help of two light strings as shown. Find the ratio of tensions T1/T2

Question

A block of mass m is suspended in a vertical plane with the help of two light strings as shown. Find the ratio of tensions \(\frac{T_1}{T_2}\)

(1) 3

(2) \(\frac{1}{3}\)

(3) \(\frac{1}{\sqrt{3}}\)

(4) \(\sqrt{3}\)

Answer 1

Correct option is:  (3) \(\frac{1}{\sqrt{3}}\)

\(T_1 \ cos30^\circ = T_2 \ cos60^\circ\)

\(\frac{T_1}{T_2} = \frac{cos\ 60^\circ}{cos \ 30^\circ} = \frac{1}{\sqrt{3}}\)