Assignment:
Question 1. Metal part, 2, is attached by a thin cord from a floating wood block, 1. The wood block has a specific gravity(S.G.)=0.3 and dimensions of 50x50x10mm. The metal part has a volume of 6600mm^3. Find mass, m2, of metal part and the tension, T, in the cord.
Question 2. The closed vessel has water of air pressure 10psi at the surface. One side of the vessel has a spout that is closed by a 6 inch diameter circular gate that is hinged along one side as illustrated. The horizontal axis of the hinge is located 10 feet below the water surface. Determine the minimum torque that must be applied at the hinge to hold the gate closed. Neglect the weight of the gate and friction at the hinge.
Question 3. 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.
