Question

A weightless thread can bear tension up to $3.7$kg wt. A stone of mass $500$g is tied to it and revolved in a circular path of radius $4$m in a vertical plane. If $g=10m/s^2$, then the maximum angular velocity of the stone will be :

• A. $4rad/s$
• B. $2rad/s$
• C. $6rad/s$
• D. none of these

Answer 1

The correct option is A $4rad/s$

Maximum tension $=\frac{m{v}^2}{r}+mg$
$3.7\times 10=\frac{0.5v^2}{4}+0.5\times 10$
$\Rightarrow v=16m/s$
$\therefore \omega =\frac{v}{r}=\frac{16}{4}=4rad/s$.