A thin metal disc of radius 0.25m and mass 2Kg starts from rest and rolls down a smooth inclined plane. It' s rotational K.E. is 4 J at the bottom of the inclined plane. What is the linear velocity at the same point ?

A box of mass 25 kg starts from rest and slides down an inclined plane 8 meter long and 5 meter high. It is found to move at the bottom at 7 m/s. What is the force of friction

A thin circular ring rolls down a smooth inclined plane of inclination 30degree without slipping. What is it's linear acceleration in the plane ?

A half kg weight is tied to one end of a metal wire of length 0.6 m . By holding the other end in the hand, the wire is whirled in a vertical and has an angular velocity of 2 r.p.s. at bottom of the circle. What is the elongation of the wire at the lowest point ? Area of cross-section of the wire = 5 x 10 ^(-6) m^2 . Y for steel = 2 x 10^10 N/m^2 .

A body of a mass 2 kg is rotating on a circular path of radius 0.5 m with an angular velocity of 20 red//s. It the radius of the path is doubled, then what will be the new angular velocity ?

A wheel starting from rest is rotating with constant angular acceleration of 2 rad/s^2 . A student notes that it traces an angle of 80 radians in 4 sec interval. What was the angular velocity of the wheel, when the student started his observation ?

A body sliding on a smooth inclined plane requires 4 sec to reach the bottom straight from rest at the top. How much time does it take to cover one fourth the distance starting from rest the top?

Uniform solid sphere of mass 10 kg is rolling on horizintal plane with linear velocity 2 m/s . find the total kinetic energy of the sphere.

A mass of 4 kg rests on a horizontal plane. The plane is gradually inclined until an angle theta=15^@ with the horizontal and the mass begins to slide. What is the coefficient of static friction between the block and the surface ?