For the system shown in the figure, the cylinder on the left at \( ...

For the system shown in the figure, the cylinder on the left at \( \mathrm{L} \) has a mass of \( 600 \mathrm{~kg} \) and a cross sectional area of \( 800 \mathrm{~cm}^{2} \). The piston on the right, at \( \mathrm{S} \), has cross sectional area \( 25 \mathrm{~cm}^{2} \) and negligible weight. If the apparatus is filled with oil. \( \left(\rho=0.75 \mathrm{gm} / \mathrm{cm}^{3}\right) \) Find the force \( \mathrm{F} \) required to hold the system in equilibrium.