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A flywheel of mass 10 kg and radius 10 cm is revolving at a speed of 240 rpm. Its kinetic energy is

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Important Questions on Rotational Motion

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A thin hollow cylinder open at both ends islips without rolling; ii rolls without slipping with the same velocity. The ratio of the kinetic energies in both cases will be
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The moment of inertia of a ring about an axis passing through the centre and perpendicular to its plane is I. It is rotating with angular velocity ω. Another identical ring is gently placed on it, so that their centres coincide. If both the rings are rotating about the same axis then the loss in kinetic energy is
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A disc of moment of inertia I1 is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane with constant angular speed ω1. Another disc of moment of inertia I2 having zero angular speed is placed coaxially on a rotating disc. Now both the discs are rotating with constant angular speed ω2. The energy lost by the initial rotating disc is
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A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a maximum height of 3v24g with respect to the initial position. The object is a
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For increasing the angular velocity of an object by 10%, the kinetic energy has to be increased by
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A cord is wound around the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is I. The weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be
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In a bowling event, a ball is thrown with a velocity v on a horizontal track. However, the ball suddenly encounters a chewing gum. The spherical ball sticks to the point and does pure rotation. Find the angular velocity of the ball as soon as it starts pure rotation.
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When W joule of work is done on a flywheel, its frequency of rotation increases from n1 Hz to n2 Hz. The moment of inertia of the Flywheel about its axis of rotation is given by