System of Parti...

The kinetic energy of a moving body is given by $$K = 2v^{2}$$, $$K$$ being in joules and $$v$$ in m/s. Its momentum when traveling with a velocity of $$2\ ms^{-1}$$ will be :

A torque of $$0.5  Nm$$ is required to drive a screw into a wooden frame with the help of a screw driver. If one of the two forces of couple produced by screw driver is $$50  N$$, the width of the screw driver is:

The position of axis of rotation of a body is changed so that its moment of inertia decreases by 36%. Find the % change in its radius of gyration.

The radius of gyration of a rotating metallic disc is independent of which of the following physical quantity.

A wheel of radius $$R$$ is free to rotate about its natural axis and $$I$$ is its moment of inertia. If a tangential force $$F$$ is applied on the wheel along its rim, then angular acceleration of wheel is:

A flywheel making $$120$$ r.p.m is acted upon by a retarding torque producing angular retardation of $$\pi  \ rad/s^{2}$$. Time taken by it to come to rest is:

A brass disc is rotating about its axis. If temperature of the disc is increased then its:

Mass of thin long metal rod is 2 kg and its moment of inertia about an axis perpendicular to the length of rod and passing through its one end is $$0.5  kgm^{2}$$. Its radius of gyration is:

A wheel of moment of inertia $$5\times 10^{-3}kgm^{2}$$ is making $$20 \  rev/s$$. The torque required to stop it in $$10 \  s$$ is :

Four point size bodies each of mass $$m$$ are fixed at four corners of a light square frame of side length $$L$$. The radius of gyration of these four bodies about an axis perpendicular to the plane of frame passing through its centre is: