Question

A string of length $l$ has one end fixed and a particle of mass $m$ is attached to the other end. If the particle describes a horizontal circle at an angular speed $\omega$, in gravity free space.

• A. The tension in the string $=m{\omega }^{2}l$
• B. The speed of the particle is $l\omega$
• C. The resultant force acting on the particle has no vertical component
• D. None of these

Answer 1

The correct option is A The tension in the string $=m{\omega }^{2}l$

Tension in the string $=$centripetal force

$T=\frac{m{v}^2}{l}=\frac{m{l}^2{w}^2}{l}=m{w}^{2}l$