A 1 meter diameter cylindrical mass, M, is connected to a 2 meter wide rectangular gate. The gate is to open when the water level, h, drops below 2.5...

A 1 meter diameter cylindrical mass, M, is connected to a 2 meter wide rectangular gate. The gate is to open when the water level, h, drops below 2.5 meters. Determine the required value for M. Neglect friction at the gate hinge and pulley.