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- The weight of the cylindrical tank is negligible in comparison to the weight of water it contains (water weighs 62.4lb/ft3). The coefficient of static friction between the tank and the horizontal surface is s. (a) Assuming a full tank, find the smallest force P required to tip the tank, and the smallest s that would allow tipping to take place. (b) If the force P = 200 lb initiates tipping, determine the depth of water in the tank.Determine the force F required to pull up the 3.54m stopper from the drain of a sink if the depth of water is 10 in. Use =0.036lb/in.3 for water and neglect the weight of the chain.The tongs shown are designed for lifting blocks of ice. If the weight of the ice block is W, find the horizontal force between the tongs and the ice block at C and D. Neglect the weights of the tongs.
- One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.
- Each of the three gates has a constant width 1: (perpendicular to the paper). Calculate the force P required to maintain each gate in the position shown. Express your answers in terms of b, c, h, and (the weight density of the fluid).The automobile, with center of gravity at G, is parked on an 18 slope with its brakes off. Determine the height h of the smallest curb that will prevent the automobile from rolling down the plane.The plane region A is submerged in a fluid of weight density . The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that R=Qa and h=Ia/Qa, where Qa and Ia are the first and second moments of A about the axis a-a.