5-59. A 100-kg mass is lifted by means of the mechanism shown in Figure P5-59. Neglect the diameters of the pulleys and determine the horizontal and vertical components of the pin reaction at C on member ED.
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- For Probs. 1-3, (a) draw the free-body diagrams for the entire assembly (or structure) and each of its parts. Neglect friction and the weights of the members unless specified otherwise. Be sure to indicate all relevant dimensions. For each problem, (b) determine the total number of unknown forces and the total number of independent equilibrium equations. Problem 1 500 N 500 N 1 m 500 N (b) (c) Figure 1 Problem 2 -- Ift 4 ft -1.8 ft 100 lb F1.8 ft - 100 lb 100 lb (а) (b) (c)Problem Statement Based on Problem 5-87 from the textbook. Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is tramsitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components of reaciotn at the journal bearing C and thrust bearing D. The bearings are in proper alignment and exrt only force reactions on the shaft. 300 mm 250 mm 200 mm 80 mm D 150 mm F3 F1=70N F2=85N F3=50N Theta=38 degreesProblem Statement Based on Problem 5-87 from the textbook. Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is tramsitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components of reaciotn at the journal bearing C and thrust bearing D. The bearings are in proper alignment and exrt only force reactions on the shaft. 300 mm 250 mm 200 mm 80 mm D 150 mm F3 F1=55N F2=75N F3=40N Theta 55 degrees
- Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.The weightless bars AB and CE, together with the 5-lb weight BE, form a parallelogram linkage. The ideal spring attached to D has a free length of 2 in. and a stiffness of 7.5 lb/in. Find the two equilibrium positions that are in the range 0/2, and determine their stability. Neglect the weight of slider F.PROBLEM 3 Mechanical system consists of: body 1 of mass m₁ =m; body 3 two-stage disk of mass m3-8m, radii r and R=2r, and R By its center; both bodies 4 - equal horizontal springs each of coe- fficient of elasticity c. An ideal cord 2 connects body 1 and body 3. Disk 3 moves by its small drum on a fixed horizontal plane without sliding. At the initial moment system is turned www out of its equilibrium by small shifting of magnitude xo of the body 1 in the x direction (according to the figure) and released with initial velocity of magnitude vo. Assuming the system makes small oscillations around its equilibrium, neglecting resistance forces, and m, r, c are positive constants, find: r radius of inertia i3=- toward horizontal axes passing through 4 2 X 3 a) kinetic energy of the system; b) total power of the forces acting upon the system; c) differential equation of the system motion (using the body 1 motion at x direction); d) the law of the system motion (using the body 1 motion at x…
- Problem Statement Based on Problem 6-11 from the textbook. The spring has an unstretched length of L. Determine the mass m of each uniform bar if 0 = 30 degrees for equilibrium. L=0.29m X=2.9m K=150N/m Unique Values for Each Student: Ais part of a drive 6-101 The shaft shown in Fig. system in a factory. Friction between the belts and pulleys prevents slipping of the belts. Determine the torque T re- quired for equilibrium and the reactions at supports A and B. The support at A is a journal bearing, and the support at B is a thrust bearing. The bearings exert only force reac- tions on the shaft. 6 in. 50 lb 200 lb 150 lb 6 in. 50 lb B 8 in. 14 in. 14 in.Based on Problem 5-87 from the textbook. Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is tramsitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components of reaciotn at the journal bearing C and thrust bearing D. The bearings are in proper alignment and exrt only force reactions on the shaft. F₁ = 70 N F2=80 N Unique Values for F 300 mm F3 = 40 N 8= 44 44° 250 mm 200 mm F₁ F2 80 mm A 150 mm B
- Problem Statement Based on Problem 6-11 from the textbook. The spring has an unstretched length of L. Determine the mass m of each uniform bar if 0 = 30 degrees for equilibrium. L=0.35m X=1.6m K=160 N/m Unique Values for Each Student: AIdentify the zero force members (if any) in the trus P 4 m -3mThe 20kg uniform rectangular plate is supported by an ideal pivot at O and a spring which must be compressed prior to being slipped into place at point A. If the modulus of the spring is k=2KN/m, what must be its undeformed length?