A lawn roller in the form of a thin-walled hollow cylinder of mass M is pulled
horizontally with a constant force F applied by a handle attached to its axle. If it rolls
without slipping, find the acceleration and the friction force ?

Explanation:

If '' be the mass of the roller and '' is the radius of its cylindrical shape, then moment of inertia '' can be written as,

If '' is the force by which the roller is pulling, '' is the frictional force and '' is the acceleration generated in the roller, then considering the linear motion of the roller, we can write

Considering the rolling motion of the roller, if '' be the angular velocity of the roller, then frictional force '' due to rolling is

where, '' is the angular acceleration.

According to the problem, . Therefore,

waves moving from a fast medium to a slow medium will experience a reflection as light travels more slowly than red light. total internal reflection occurs when the critical angle is.

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