A block sliding down on an inclined plane forms an angle `theta` with the horizontal. The friction coefficient depends on the distance `x` covered as `mu = kx` , where `k` is a constant. Find the distance covered by the block till it stops and its maximum velocity over this distance. Also , sketch a graph between square of velocity and distance covered `x`.

A small bar starts sliding down an inclined plane forming an angle alpha with the horizontal. The friction coefficient depends on the distance x covered as k=ax , where a is a constant. Find the distance covered by the bar till it stops, and its maximum velocity over this distance.

A small block starts sliding down an inclined plane forming an angle 45^(@) horizontal. The coefficient of friction mu , varies with distence s as mu = cs^(2) wherem, c is a constant of appropriate dimension, then distence covered by the block before it stops is

A small block starts sliding down an inclined plane subtending an angle theta with the horizontal . The coefficient of friction between the block and plane depends on the distance covered from rest along the plane as mu = mu_(0)x where mu_(0) is a constant . Find (a) the distance covered by the block down the plane till it stops sliding and (b) its maximum velocity during this journey .

A small block starts sliding down an inclined plane subtending an angle theta with the horizontal . The coefficient of friction between the block and plane depends on the distance covered from rest along the plane as mu = mu_(0)x where mu_(0) is a constant . Find (a) the distance covered by the block down the plane till it stops sliding and (b) its maximum velocity during this journey .

A small mass slides down an inclined plane of inclination theta with the horizontal the coefficient of friction is mu = mu_(0)x , where x is the distance through which the mass slides down. Then the distance covered by the mass before it stops is