K A Tsokos Solutions for Chapter: Mechanics, Exercise 2: Test yourself

Find the magnitude and direction of the net force in the diagram.

Explain why is it impossible for a mass to hang attached to two horizontal strings as shown in the diagram.

A mass of $2.00 \mathrm{kg}$ rests on a rough horizontal table. The coefficient of static friction between the block and the table is $0.60$. The block is attached to a hanging mass by a string that goes over a smooth pulley, as shown in the diagram. Determine the largest mass that can hang in this way without forcing the block to slide.

A girl tries to lift a suitcase of weight $220 \mathrm{N}$ by pulling upwards on it with a force of $140 \mathrm{N}$. The suitcase does not move. Calculate the reaction force from the floor on the suitcase.

A block of mass $15.0 \mathrm{kg}$ rests on a horizontal table. A force of $50.0 \mathrm{N}$ is applied vertically downward on the block. Calculate the force that the block exerts on the table.

A block of mass $M$ is connected with a string to a smaller block of mass $m$. The big block is resting on a smooth inclined plane as shown in the diagram. Determine the angle of the plane in terms of $M$ and $m$ in order to have equilibrium.

Describe under what circumstances a constant force would result in an increasing acceleration on a body and a decreasing acceleration on a body.

A car of mass $1400 \mathrm{kg}$ is on a muddy road. If the force from the engine pushing the car forward exceeds $600 \mathrm{N}$, the wheels slip (i.e. they rotate without rolling). Estimate the car’s maximum acceleration on this road.