A wheel of radius `6 cm` is mounted so as to rotate about a horizontal axis through its centre. A string of negligibe mass wrapped round its circumference carries a mass of `0.2 kg` attached to its free end. When let to fall, the mass descends through `1 m` in `5 s`. Calculate the angular acceleration of the wheel, its moment of inertia and tension in the cord.

A wheel of radius 6 cm is mounted so as to rotate about a horizontal axis through its centre. A string of negligibe mass wrapped round its circumference carries a mass of 0.2 kg attrached to its free end. When let fall, the mass descends through 1 m in 5 s . Calculate the angular acceleration of the wheel, its moment of inertia and tension in the cord.

A solid sphere of radius r and mass m rotates about an axis passing through its centre with angular velocity omega . Its K.E . Is

A cord is wound around the circumference of a wheel of diameter 0.3 m. The axis of the wheel is horizontal. A mass of 0.5 kg is attached at the end of the cord and it is allowed to fall from rest. If the weight falls 1.5 m in 4s, what is the angular acceleration of the wheel ? Also find out the moment of inertia of the wheel.

A uniform disc of radius R and mass M is free to rotate about a fixed horizontal axis perpendicular to its plane and passing through its centre. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The block is released from rest. If string does not slip on the rim then find the acceleration of the block. Neglect the mass of the string.

A wheel of moment of inertia I and rdius r is free to rotate about its centre as shown in figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. Find the speed of the block as it descends through a height h.

A disc of mass m and radius r is free to rotate about its centre as shown in the figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. The speed of the block as it descends through a height h, is :-

A solid sphere of radius 25 cm and mass 25 kg rotates about an axis through its centre. Calculate its moment of inertia if its angular velocity changes from 2 rad/s to 22 rad/s in 5 seconds. Also calculate the torque applied.

Moment of inertia of a uniform quarter disc of radius R and mass M about an axis through its centre of mass and perpendicular to its plane is :

A cord of negligible mass is wound around the rim of a wheel of radius 20 cm. An object of mass 600 g is attached to the end of the cord and is allowed to fall from rest. It took 5 s for the object to fall by 2 m. Calculate the angular acceleration and moment of inertia of the wheel. Assume that the axis of wheel is horizontal.

A string is wound round the rim of a mounted flywheel of mass 20 kg and radius 20 cm . A steady pull of 25 N is applied on the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel in rad//s^(2) is