Oil sp gr 0.90 Gate-4 ft wide r= 2 ft F Water 2ft 2 ft S= 3.0 Figure 2.74 Problems 2.84-2.86. Calculate the force F required to hold the gate of Fig 2.74 in a closed position when R = 2 ft. Please provide a step-by-step solution (final answer should be 549.1 lb)

A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force P. Friction at the hinge and the weight of the gate can be neglected. Determine the required value of P. Water 20 ft Hinge Gate 4 ft 60° P = i Ib

Consider a 16ft-long canoe (A-E) shown in Figure 3.1 with two individuals positioned at B and D. respectively. Assume that the buoyant force of the water (po) is uniformity distributed over the length of the canoe as shown below. The weight of the person at B is 200 lb. Assume that the canoe does not move and is in equilibrium. a) Determine the weight of the person at D (Reminder: The canoe is in equilibrium and perfectly horizonal). b) Determine the amplitude of po c) Using the results from parts a) and b), draw the shear and bending moment diagrams between A and E (i.e., along points A, B, C, D, and E). 30- W₁ = 200 lb 8 ft Figure 3.1 5 ft W 8 E Po 8 ft

The 300 kg, 5 m wide rectangular gate shown in Figure Q1(b) is hinged at B and leans against the floor at A making an angle of 45° with the horizontal. The gate is to be opened from its lower edge by applying a normal force at its centre. Determine the minimum force F required to open the water gate. (b) 0.5 m B. Water 3 m F 45° A DI