Sphere Rolling on Inclined Plane

A solid sphere of mass ‘m’ and radius ‘r’ is allowed to roll without slipping from the highest point of an inclined plane of length ‘L’ and makes an angle 30° with the horizontal. The speed of the particle at the bottom of the plane is v₁. If the angle of inclination is increased to 45° while keeping L constant. Then the new speed of the sphere at the bottom of the plane is v₂. The ratio of v₁² : v₂² is