![]() ![]() Centroid for circle is at center.Ī cubic block of mass M and side a is in a vertical channel slightly bigger than the cube (see fig 1). Lastly find the force F that must be exerted at the top of the gate to keep the gate closed. ![]() c.) Use the result of part (a) to find the force water exerts on the gate. ![]() (30 pts) a.) b.) Using the manometer reading find the depth of the manometer H. The top of the gate is 2m below a U tube manometer containing mercury with density = 13,600 Kg/m3. Consider a circular gate hinged at the bottom (see fig. What is the maximum velocity that this disk can attain? f.) Extra credit: Solve the differential equation for velocity (5 points) Q2. d.) What is the initial condition for this ordinary differential equation? (Do not solve this equation) e. Hence find an ordinary differential equation for velocity U. c.) Derive an equation for the acceleration of the block. b.) Total viscous force opposing the motion of the block. The mass is released at time t = 0 and begins to accelerate due to a.) The shear stress generated in the gap if the velocity of the block at that instant is (30 pts) U. The gap between the cube and channel walls is h (h << a and is filled with gravity g) with an oil of viscosity. SOLVED: A cubic block of mass M and side a is in a vertical channel slightly bigger than the cube (see fig 1). ![]()
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