Two wheels of moment of inertia 4 kgm^2` rotate side by side at the rate of 120 rev/min and 240 rev/min respectively in the opposite directions. If now both the wheels are coupled by means of weightless shaft so that the both wheels now rotates with a common angular speed. Find the new speed of rotation.

Two wheels of moment of inertia 4 kgm^2 rotate side by side of the rate of 120 r.p.m. and 240 r.p.m. respectively in the opposite direction. If now both the wheels are coupled by means of weightless shaft so that both the wheels now rotate with a common angular speed, find the new speed of rotation.

A wheel of moment of inertia 2 xx 10^3 kg m^2 is rotating at uniform angular speed of 4 rad/s,.then . the torque required to stop it in one second is,

An automobile engine develops 60pi kilowatt of power when it is rotating at the speed of 1800 rev/min, then the torque it can transfer to the wheels is

A wheel of moment of inertia 2 kg m^2 is rotating about an axis passing through centre and perpendicular to its plane at a speed 60 rad//s . Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is

Two discs of moments of inertia I_1 and I_2 about their respective axes normal to the disc and passing through the centre and rotating with angular speeds omega_1 and omega_2 are brought into contact face to face with their axes of rotation coinciding. Then the angular speed of the two disc system is

A person stands on a uniformly rotating turn table with outstretched arms holding two identical weights. The moment of inertia of the system is 60 kgm^2 . When he brings the arms close to his body, the M.I. of inertia reduces to 58 kgm^2 . The angular speed of the system now becomes 3 rad s^-1 . Find the initial angular speed and the final K.E.

A wheel is rotating with an angular speed of r.p.m on a shaft. Second identical wheel axially at rest is suddenly coupled on the same shaft. What is the angular speed of the resultant combination ?Assume M.I of shaft to be negligible.

An automobile moves on a road with a speed of 54 km h^-1 . The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its aXIIs of rotation is 3 kg m^2 . If the vehicle is brought to rest in 15s, the magnitude of average torque transmitted by its brakes to the wheel is