Water 6 m F₂ Figure la F₁ 2 m Gate m

The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position shown, determine the mass of the block at D.

1. The rigid gate with 3m width is installed in order to control the water outflow as shown in the figure. The gate is hinged at point O and rests against a support at point B. Assuming that the weight of the gate as well as the friction at the hinge don't have significant effects, determine the following: Wate 4 m a. Determine forces (resultant forces). b. Locate the center of pressure for the hydrostatic forces (resultant forces). c. Required horizontal force, the gate closed. the magnitude of the hydrostatic Hing 3 m B A P in order to hold 2 m Atmosphere

Q2. A cylindricai tank of diameter 2.5 m is founded with its axis horizontal. The tank contains water in the bottom half and an oil of relative density 0.82 on the top haif with a common interface. The fluids are under pressure and a pressure gauge on the top of the cylinder reads 15 KPa. Caleulate the force per meter length on the upper half of the cylindrical tank.

If the 500-kg drum has a center of mass at point G, determine the horizontal component of force acting at pin A on member DAB. The grip at B on member DAB resists both horizontal and vertical components of force at the rim of the drum. Determinne the following reactions : Ax,Ay,NC and ND

Problem 6 Two cables of the same gauge are attached to a transmission tower at B. Because the tower is slender, the horizontal component of the resultant of the forces exerted by the cables at B is to be zero. Knowing that the mass per unit length of the cables is 0.4 kg/m, determine (a) the required sag h, (b) the maximum tension in each cable. -90 m- A h B 60 m → 3 m Figure Problem 6 с

Given the following, Determine the reactions for the beam

The compound beam shown is pin connected at B.Determine the components of reaction at its supports. Neglect its weight and thickness.