(5) The uniform rectangular plate is welded to the vertical shaft AB and the assembly is supported by cable CD, a thrust bearing at A, and a radial bearing at B. The weight of the plate is 100 N. A vertical 250 N force and a 120 N·m moment are applied on the assembly as shown. Determine the tension in cable CD and the magnitude of the reactions at the bearings. Ans: T = 650 N, A = 2170 N, B = 2790 N A 120 N-m 200 mm B 50mm 480 mm 200 mm 250 N D 400 mm

(5) The compound pliers consist of four members: two handles and two jaws pin- connected symmetrically as shown. For the applied forces P = 100 lb, determine the normal gripping force on the jaw at Q. Ans: 62.9 lb B D -3.5"- 1" 2.5"- 5.5"

The 0.50 lb ball is shot from the spring device shown. The spring has a stiffness k = 10 lb/in. and the four cords C and plate P keep the spring compressed 2 in. when no load is on the plate. The plate is pushed back 3 in. from its initial position. (Eigure 1) If it is then released from rest, determine the speed of the ball when it travels 23 in. up the smooth plane. Express your answer to three significant figure and include the appropriate units. HA Value ft/s v = 30

A trough whose cross-section is a trapezoid, measures 6 meters across the bottom and 8 meters across the top, and is 3 meters deep. If the trough is filled with a liquid of mass density p, what is the force due to hydrostatic pressure on one end of the trough? Write your answer in terms of p.

(3) The uniform rectangular plate is supported by two hinges at A and B and held in the horizontal position by cable EF as shown. The weight of the plate is 750 lb and a 300 lb force is applied at corner D of the plate. Determine (a) the tension T in cable EF, (b) the magnitude of the reaction force normal to the hinge axis at hinge B. Ans: (a) T 495 lb (b) B = 304 lb 300 lb 4 in. 30 in. 8 in. B 4 in. 25 in. 20 in. x

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A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be upwards) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s² for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m³.) pg og/(2(13-y) Jo Need Help? Submit Answer X 3 m Read It 9 m i dy 32419351 XN

A cylindrical tank, shown to the right, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg/m for the density of water and 9.8 m/s² for the acceleration due to gravity. 3 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 ≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.) 8 m