Systems of Part...

A car moves around a curved road of radius R₁ at constant speed v without sliding. If we double the car's speed, what is the least radius that would now keep the car from sliding ?

A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass in, if the string does not slip on the pulley, is

A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle O. The frictional force

A solid sphere rolls down without slipping on an inclined plane at angle 60° over a distance of 10 m. The acceleration (in ms ^-2) is

A solid sphere of mass 1 kg, radius 10 cm rolls down an inclined plane of height 7 m. The velocity of its centre as it reaches the ground level is

A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is

The acceleration of the centre of mass of a uniform solid disc rolling down an inclined plane of angle α is

A circular disc of radius R rolls without slipping along the horizontal surface with constant velocity v₀. We consider a point A on the surface of the disc. Then the acceleration of the point A is

A cylinder rolls down an inclined plane of inclination 30°, the acceleration of cylinder is