A solid cylinder starts rolling from a height h on an inclined plane. At some instant t, the ratio of its rotational K.E and the total K.E would be
1) 1:2
2) 1:3
3) 2:3
4) 1:1

Solid cylinders of radii r_1,r_2 and r_3 roll down an inclined plane from the same place simultaneously. If r1 > r2 > r3 , which one would reach the bottom first?

The moment of inertia of a solid cylinder about its axis is given by (1//2)MR^(2) . If this cylinder rolls without slipping the ratio of its rotational kinetic energy to its translational kinetic energy is -

A solid cylinder rolls down an inclined plane of height 3m and reaches the bottom of plane with angular velocity of 2sqrt2 rad//s . The radius of cylinder must be [take g=10m//s^(2) ]

A solid sphere and a solid cylinder of same mass are rolled down on two inclined planes of heights h_(1) and h_(2) respectively. If at the bottom of the plane the two objects have same linear velocities, then the ratio of h_(1):h_(2) is

A solid sphere of mass 0.1kg and radius 2cm rolls down an inclined plane 1.4m in length (slope 1 in 10). Starting from rest, what will be its final velocity?

A ring takes time t_(1) in slipping down an inclined plane of length L, whereas it takes time t_(2) in rolling down the same plane. The ratio of t_(1) and t_(2) is -

Two dises having masses in the ratio 1 : 2 and radii in the ratio 1 : 8 roll down without slipping one by one from an inclined plane of height h. The ratio of their linear velocities on reaching the ground is :-

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by (1) {1,""3} (2) {0,""2} (3) {-1,""3} (4) {-3,-2}

A solid uniform sphere rotating about its axis with kinetic energy E_(1) is gently placed on a rough horizontal plane at time t=0, Assume that, at time t=t_(1) , it starts pure rolling and at that instant total KE of the sphere is E_(2). After sometime, at time t=t_(2) . KE of the sphere is E_(3) . Then

Three identical solid spheres (1, 2 and 3) are allowed to roll down from three inclined plane of angles theta_(1), theta_(2) and theta_(3) respectively starting at time t = 0, where theta_(1) gt theta_(2) gt theta_(3) , then