A string is wrapped around the rim of a wheel of moment of inertia `0.20 kg m^2` and radius 20 cm.the wheel is free to rotate about its axis .Initially,the wheel is at rest.The string is now pulled by a force of 20 N.Find the angular velocity of the wheel after 5.0 seconds.

A wheel having moment of inertia 2 kg m^2 about its axis ,rotates at 50 rpm .About this axis .Find the torque that can stop te wheel in one minute.

A solid cylinder of mass 2kg and radius 20 cm is rotating about its axis with a frequency (10//pi)Hz .The rotational kinetic energy of the cylinder is :

A magnetic field vecB is confined to a region r le a and points out of the paper (the z axis), r = 0 being the centre of the circular region. A charged ring (charge = Q) of radius b, b>a and mass m lies in the x-y plane with its centre at the origin. The ring is free to rotate and is at rest. the magnetic field is brought to zero in time Deltat . Find the angular velocity omega of the ring after the field vanishes.

A line charge lambda per unit length is lodged uniformly onto the rim of a wheel of mass M and radius R. The wheel has light non-conducting spokes and is free to rotate without friction about its axis (Fig. 6.22). A uniform magnetic field extends over a circular region within the rim. It is given by, B = -B_0k (r oversetlarr a, a

A wheel rotates with a constant acceleration of 2.0 rad//s^2 .If the wheel starts from rest,how many revolutions will it make in the first 10 seconds?

A wheel rotates making 20 revolutions per second. If the radius of the wheel is 35 cm., what linear distance does a point of its rim traverse in three minutes ?

A small coil of radius 0.002 m is placed on the axis of a magnet of magnetic moment 10^(5) JT^(-1) and length 0.1 m at a distance of 0.15 m from the centre of the magnet. The plane of the coil is perpendicular to the axis of the magnet. Find the force on the when a current of 2.0 A is passed through it.

A 20 g bullet pierces through a plate of mass M_1 = 1 kg and then comes to rest inside a second plate of mass M_2 = 2.98 kg as shown in figure. It is found that the two plates, initially at rest, now move with equal velocities. Find the percentage loss in the initial velocity of the bullet when it is between M_1 and M_2 Neglect any loss of material of the plates, due to action of bullet.

The oxygen molecule has a mass of 5.30 xx 10^-26 kg and a moment of inertia of 1.94xx10^-46 kg m^2 about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m//s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.

A wheel of radius 10 cm can rotate freely about its centre as shown in fig.A string is wrapped over its rim and is pulled by a force of 5.0N .It is found that the torque prodces an angular acceleration 2.0 rad//s in the wheel.calculate the moment of inertia of the wheel.