A rogid object is rolling down an inclined plane. Derive an expressions for the acceleration along the track and the speed after falling through a certain vertical distance.

A solid sphere rolls without slipping down a 30^@ inclined plane. If g=10ms^-2 then the acceleration of the rolling sphere is

Starting from rest, an object rolls down along an inclined that rises by 3 in every 5(along it) . The object gains a speed of sqrt10 frac(m)(s) as it travel a distance of frac(5)(3)m along the incline. What can be the possible shape//s of the object?

Starting from rest, an object rolls down along an incline that rises by 3 in every 5 (along it). The object gains a speed of sqrt(10) m/s m/s as it travels a distance of 5/3 m along the incline. What can be the possible shape/s of the object ?

When a solid sphere rolls down on an inclined plane of inclination 30^@ to the horizontal without slipping, acceleration of its centre of mass is

A metallic rod of mass per unit length 0.5 kg m^(-1) is lying horizontally on a smooth inclined plane which makes an anlge of 30^(@) with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary

'A' solid sphere and solid disc having the same mass and radius roll down on the same inclined plane. What is the ratio of their accelerations ?

An object is falling freely under the gravitational force. Its velocity after travelling a distance h is v. If v depend upon gravitational acceleration g and distance h, prove with dimensional analysis v = k sqrt(gh) , where k is constant.

Derive expression for velocity of a ring, solid cylinder and solid sphere having same radii rolling down the smooth inclined plane without slipping.

Using the energy conservation, derive the expression for the minimum speeds at different locations along a vertical circular motion controlled by gravity. Also prove that the difference between the extreme tensions (or normal forces) depends only upon the weight of the object.