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Solve 3,4&6 TUTORIAL THREE 1. The figure shows a cylindrical tank with 0.25 in-thick walls containing water. What is the force on the bottom? What is the force on the annular surface MM? Find the longitudinal tensile stress the sidewalls BB if (a) the tank is suspended from the top; (b) it is supported on the bottom. Neglect the weight of the tank. 2. Find the minimum value of z for which the gate in the figure will rotate counter clock wise if the gate is (a) rectangular, 4 by 4ft; (b) triangular, 4-ft base as axis, hight 4 ft. Neglect friction in bearings. 3. Find the magnitude and point of application of the force on the circular gate shown in the figure? 4. Referring to the figure, what value of b is necessary to keep the rectangular masonry wall from tiding if it weighs 150 Ib/ft³ and the coefficient of friction is 0.4? Will it also be safe against ertuning? Assume that water does not get underneath the block. 5. The gate MN in the figure rotates about an axis through N. if the width perpendicular to the plane of the figure is 4 ft, what torque applied to the shaft through N is required to hold the gate closed? 6. Determine the magnitude of the force F required to open the gate shown in the figure. The gate is hinged at point A. The fluid on both sides is water of TABLE 3.1 The center of gravity (G) and moment of inertia (I) of some important geometrical figures is given below: