Block on a Conveyor Belt

A conveyor belt having a length \(l\) and carrying a block of mass \(m\) moves at a velocity \(v\). Determine the distance covered by the block before it stops. Discussion: The initial velocity of the block relative to the ground is determined from the conditions $$...

Block on a Cart

A block is placed against the vertical front of a cart. What acceleration must the cart have so that block A does not fall? The coefficient of static friction between the block and the cart is \(\mu_s\). Discussion: A block is placed against the vertical front of a...

The Leaning Ladder Problem

A ladder leans against a frictionless wall. If the coefficient of friction with the ground is \(\mu\), what is the smallest angle that the ladder can make with the ground and not slip? Solution: Let the ladder have mass m and length \(l\). We have three unknown...

Frictional force between pen and paper

A pen of mass ‘m’ is lying on a piece of paper of mass M placed on a rough table. If the cofficient of friction between the pen and paper and, the paper and the table are \(\mu_1\) and \(\mu_2\) respectively, what is the minimum horizontal force with which...