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Vector Mechanics For Engineers
- Determine the magnitude of the moment about A ( lb in) that produces the 125 lb force necessary to raise the window and whose line of action is the same as that of the shock absorber CB 20.5 in. 4.38 in. A B C 7.62 in. 17.2 in.arrow_forwardEXERCISE 5.31 The right triangular plate is welded to the shaft, which rotates at constant speed. Determine the force-couple acting at bearing A that is equivalent to the force system the bearings must exert to sustain this motion. a 61 aarrow_forward45 N Ans. (a) 34 N, 0=280 (b) dRA = 11.64 mm from B to the left; dRc3D62 mm below B 36 Dr. M.S. Meddah 3.116 A 160-N motor is mounted on the floor. Find the resultant of the weight and the forces exerted on the belt, and determine where the line of action of the resultant intersects the floor. 700 N 30° 50 mm -300 N 50 mm Final result: Resultant, R = 925.92 N and 0 = 11.840 x= -582.22 mm i.e. resultant intersects the floor 582.22 mm to the left of the vertical centerline through O. 37arrow_forward
- EXERCISE 5.16 The origin of the xyz coordinate system coincides with the centroid of the upper face of the box. The mass of the box is 10 kg. Determine Ixx, Iyy, and Ixy as functions of 0. Rectangular parallelepiped b/2 as b/2 G az F02 fc2 m = pabc, Lxx = 1/2m (b²+ c²), Iyy = 1/2m(a² + c²), z = - 1/2m (a² + b²). 20 mm 80 mm- 40 mm ·xarrow_forwardThe telescoping arm ABC is used to provide an elevated platform for construction workers. The workers and the platform together have a mass of 200 kg and have a combined center of gravity located directly above C. For the position when θ=20°, determine (a) the force exerted at B by the single hydraulic cylinder BD, (b) the force exerted on the supporting carriage at A.arrow_forward6. A shaft with 3 metres span between two bearings carries two masses of 10 kg and 20 kg acting at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 200 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.3 m from each bearing centres, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e. mass of 10 kg.arrow_forward
- A 14 ft long beam ABC supports a frictionless pulley with 12 in radius at point B, located 10 ft from the left end. The cable DC supports 150 lb weight W as shown. Determine and direction of the reaction at the roller at C. Determine the magnitude and direction of the reaction at pin A.arrow_forward1. Determine the angle ” between the table and the plane face of thehemisphere in its equilibrium position, if a solid hemisphere of radius 3m weighing 30kN rests on its convex surface on a level table. A body weighing 3 kN is attached to a point in the circumference of the plane face of the hemisphere. In addition, a force of 5 kN is applied at an angle of 60° from the horizontal level as shown.arrow_forwardB. F 4 in 6 in 8 in 20 in 3 in The model airplane shown above is supported by a single fixed support at F. The weight of the model can be idealized by 4 Ibs concentrated at point A, and 2 Ibs each concentrated at points B and C. Which of the following is closest to the magnitude of the couple moment reaction at point F that acts parallel to the y-axis? Assume that weight/gravity acts in the negative z direction. a) 8 lb-in b) O Ib-in c) 64 lb·in d) 172 Ib·inarrow_forward
- The 12ft pole AC (negligible mass) lies in the y-z plane and forms a 30° angle with the z-axis. The pole is held in place at point C by a ball-and-socket joint. Two cables, BD and BE, are fixed to the pole at point B (these represent two separate cables attached at B). A 110 lb force pulls downward at the end of pole AC in the vertical direction (y-direction). If the distance between B and C along the feet, determine the Reactions at C (ball-and-socket joint) The tension in cables BD and BE.arrow_forwardThe masses of the frictionless cylinders A and B are 2.0kg and 1.0kg,respectively. The smallest value of the force P that will lift cylinder a off the horizontal surface is 55.5N. Calculate the radius R of the cylinder B.arrow_forwardIn order to unscrew the tapped faucet A, a plumber uses two pipe wrenches as shown. By exerting a 40-lb force on each wrench, at a distance of 10 in. from the axis of the pipe and in a direction perpendicular to the pipe and to the wrench, he prevents the pipe from rotating, and thus avoids loosening or further tightening the joint between the pipe and the tapped elbow C. Determine (a) the angle θ that the wrench at A should form with the vertical if elbow C is not to rotate about the vertical, (b) the force-couple system at Cequivalent to the two 40-lb forces when this condition is satisfied.arrow_forward
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