Laws of Motion question bank (Physics)

The ratio of the weight of the man in stationary lift and in a lift accelerating upwards with uniform acceleration is $2:3$. The acceleration of lift is

A point mass $m$ is moved in a vertical circle of radius $r$ with the help of a string. The velocity of the particle is $\sqrt{ngr}$ when the string makes an angle of $60^\circ$ with the lower vertical. The tension $T$ in the string at an angle of $60^\circ$ is $\left(\cos 60^\circ = \dfrac{1}{2}\right)$