Question

In the figure a ball of mass $m$ is tied with two strings of equal length as shown. If the rod is rotated with angular velocity $\omega$ and $T_1,T_2$ be tension in the strings as shown, then

• A. $T_1>T_2$
• B. $T_2>T_1$
• C. $T_1=T_2$
• D. $T_1=2T_2$

Answer 1

The correct option is A $T_1>T_2$


From vertical equilibrium
$T_1\cos \theta =mg+T_2\cos \theta$
$T_1=\frac{mg}{\cos \theta }+T_2$
As $\theta <{90}^{\circ },$ $\cos \theta >0$
Hence, $T_1>T_2$