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

From Newtons second law for the bar in projection from F mw ...

A small bar starts sliding down an inclined plane forming an angle with the horizontal. The friction

Question:

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