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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...

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...
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...