A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches upto a maximum height of $3v^2/4g$ with respect to the initial position. The object is

Write the formula for power and angular momentum in rotational motion.

The moment of inertia of a body about a given axis is $2.4\ kg-m^2$.  To produce a rotational kinetic energy of $750\ J$, an angular acceleration of $5\ rad/s^2$ must be applied about that axis for.......... $\sec$

A disc and a ring of same mass are rolling and if their kinetic energies are equal, then the ratio of their velocities will be

Two point masses of $0.3\ kg$ and $0.7\ kg$ are fixed at the ends of a rod of length $1.4\ m$  and of negligible mass. The rod is set rotating about an axis perpendicular  to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum is located at a distance of  

The grinding stone of a flour mill is rotating at $600\, rad/sec$. for this power of  $1.2\, k\, watt$ is used. the effective torque on stone in $N-m$ will be