(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

A spring has a natural length of 10 feet, and when an 64lb weight is attached, the spring measures 13.2 feet. The weight is initially displaced 4 feet above equilibrium and given a downward velocity of 3 ft/sec. Find its displacement for t>0 if the medium resists the motion with a force of two Ibs for each ft/sec of velocity.

A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne  147-kg laser sensor which measures the thickness of the ice (see the drawing). The helicopter and the sensor move only in the horizontal direction and have a horizontal acceleration of magnitude  2.54 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor.

A shell of mass 4 kg is shot upward with an initial velocity of 200 m/sec. The magnitude of the force on the shell due to air resistance is 20 the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s². When will the shell reach its maximum height above the ground? The shell will reach maximum height after 18.16 seconds. (Round to two decimal places as needed.) What is the maximum height? The maximum height is 1747 m. (Round to the nearest whole number as needed.) 3 (...) When will the shell reach its maximum height above

(2) The uniform door panel weighs 60 lb and is supported by hinges at A and B. A strut C is used to prevent the door from swinging when a horizontal force P = 50 lb is applied perpendicular to the door panel as shown. Determine the compression C in the strut and the magnitudes of the reaction forces normal to the hinge axis at A and B. Ans: C = 100 lb, An = 38.0 lb, B = 45.5 lb 40" 8" 48" 40" x 30" 8 8 A

(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

(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