Find the force acting on a horizontal rectangular plate of dimension 2×3 m immersed in a fluid of specific gravity 0.65 at a depth of 6 m from the surface.

Amass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. initially, the mass is released from rest from a point 8 inches below the equilibrium position. find the equation of motion. (use g = 32 ft/s2 for the acceleration due to gravity.)