Chapter , Prohlem 3/047 Apertion of the shifter mechanism for a manual car transmission is shown in the figure, For the 8./-N force exerted on the shift knob, detemine the correspondinig forP iction in the ball-and-socket joint at O, in the joint at 8, and in the slip tube near support D. Note that a soft rubber bushing at D ailows the slip tube to self-afign with bink 29 mm 166 mm 29,mm 31° Slip tube 70 mm

The 60 kg two-wheeled cart is described in the figure and parameter table below, with G indicating the location of the center of gravity. It is to be pulled so that it goes up the small step. Find the normal force on each wheel, and the magnitude and direction of the force applied at handle. HINT: remember that there are two wheels sharing the load @080 BY NO SA 2021 Cathy Zupke 4₁1 G L₁ L₂ parameter value 0.6 0.5 0.8 0.7 0.2 A L3 LA d L3 units m m m m m B L₂ F For the answers, take to the right and up to be the positive directions. The normal force at each wheel at A in the x direction is Ax= 150 XN The magnitude of the force at B is F Measured from the positive horizontal axis, the angle of F= 45 X° = 212 XN

The uniform 16-kg plate is welded to the vertical shaft, which is supported by bearings A and B. Calculate the magnitude of the force supported by bearing B during application of the 100-N-m couple to the shaft. The cable from C to D prevents the plate and shaft from turning and the weight of the assembly is carried entirely by bearing A. 220 mm: 100 N-m) B 170 mm 80 mm 600 mm D 480 mm

A person is performing slow arm curls with 10-kgWeight as idicated in the left image of the figure below. The biceps group (consisting of the biceps and brachialis muscles) is the major factor in this exercise. Determine the magnitude F7 of the biceps group force and the magnitude 4 of the elbow joint reaction at point E for the forearm position. The free body diagram is shown in the right image of the figure. Take the dimensions shown to locate the effectivepoints of application of the biceps group; these points are 200 mm directly above E and 50 mm directly to the right of E. Include the eftect of the the 1.5-kg forearm mass with mass center at point G. Assuming that humerus is perfectly vertical and fixed; therefore, the elbow joint E is acting like pin connection. The forearm (E-B-G-C) is perfectly horizontal; therefore, the angle A-E-B is 90 deg.

Write down equations for static equilibrium. Calculate the moment about C, and leave the answer in terms of the unknow force of magnitude |FB| After that Caclulate |FB|

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A force of 1000 lb is applied to the 600-lb horizontal beam supported by a hinge at A and a roller at B on a smooth surface. If the pin support at A suddenly fails, calculate the magnitude of the force of the roller at B acting on the beam at that instant, by modelling the beam as a uniform slender bar. Present your answer in lb using 3 significant figures. 4 13 1000 lb -8 ft- B -2 ft-

The needle-nose pliers are used to either cut objects at location A or grip objects at location B. Compute (a) the cutting force at A and (b) the gripping force at B in terms of the applied force F. Determine the magnitude of the pin reaction at O in both cases. Neglect the effects of the slight opening of the jaws to accommodate the gripped items. B Answers: 66 mm 14 mm A O (a) The cutting force at A: 103 mm FA i (b) The gripping force at B: FB = i F F F The pin reaction at O: Fo- i F The pin reaction at O: Foi F F

Q4: The uniform box shown in next figure, has a mass of 40 Kg. If the two forces T = 60 N and F =30 N are applied on the box, determine if it remains in equilibrium. The coefficient of static friction (H) = 0.24 F=30N T=60N 30 40 Kg

The figure below shows a cylinder, which is rotating in clockwise direction. A lever is pushing onto the cylinder, thus exerting a braking torque. The lever itself is loaded by a force FE . a) Draw the free-body diagram of the lever, determine the direction of the kinetic friction force.