Questions in rotational-motion

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A wheel of moment of inertia $10 kg-m^2$ is rotating at 10 rotations per minute. The work done in increasing its speed to 5 times its initial value, will be
A flywheel has moment of inertia $4kg-{{m}^{2}}$ and has kinetic energy of 200 J. Calculate the number of revolutions it makes before coming to rest if a constant opposing couple of $5N-m$ is applied to the flywheel
An engine develops 100 kW, when rotating at 1800 rpm. Torque required to deliver the power is
A wheel of radius r rolls without slipping with a speed v on a horizontal road. When it is at a point A on the road, a small jump of mud separates from the wheel at its highest point B and drops at point C on the road. The distance AC will be
A fly wheel of moment of inertia I is rotating at n revolutions per sec. The work needed to double the frequency would be
If L, M and P are the angular momentum, mass and linear momentum of a particle respectively which of the following represents the kinetic energy of the particle when the particle rotates in a circle of radius R
A uniform thin rod of length l is suspended from one of its ends and is rotated at f rotations per second. The rotational kinetic energy of the rod will be
A body rotating at 20 rad/sec is acted upon by a constant torque providing it a deceleration of 2 rad/sec2. At what time will the body have kinetic energy same as the initial value if the torque continues to act
Part of the tuning arrangement of a radio consists of a wheel which is acted on by two parallel constant forces as shown in the fig. If the wheel rotates just once, the work done will be about (diameter of the wheel = 0.05m)
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

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