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.