Question

A particle is moving in a vertical circle the tension in the string when passing through two position at angle ${30}^o$ and ${60}^o$ from vertical lowest position are $T_1$ and$T_2$ respectively then-

• A. $T_1=T_2$
• B. $T_1>T_2$
• C. $T_1<T_2$
• D. $T_1\ge T_2$

Answer 1

The correct option is B $T_1>T_2$

$T-mgcos\theta =\frac{m{v}^2}{r}T=mgcos\theta +\frac{m{v}^2}{r}for\theta =30T_1=mgcos30+\frac{m{v}^2}{r}for\theta =60T_2=mgcos60+\frac{m{v}^2}{r}{T}_1>T_2$