Determine the magnitude of the pin reactions at B and C if W = 2400 lb. %3D
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- 5 - note: ignore weight of the bar.A) ( - 6/7)T(CB) + A(y)=0 (A=reaction force at A, A(x), A(y), A(z) are components of force A)B) (2/7)T(CB)+A(x)=392 (A=reaction force at A, A(x), A(y), A(z) are components of force A)C) A(x)=2A(y) (A=reaction force at A, A(x), A(y), A(z) are components of force A)D) A(x)=5A(z) (A=reaction force at A,A(x), A(y), A(z) are components of force A)A 1500 kg load is lifted by a hoist using a Ø1.5m drum. The drum is driven by an electric motor through a gearbox with a reduction ratio-25, At a certain instant, 175 m of unwrapped rope is lifling the load and 7.4 m of rope is wrapped on the drum. Drum: diameter ØI5 m IDRUM – 322 kg-m² (includes the inertia effects of the gearbox only) Motor, speed IMOTOR 1200 rpm 1.24 kg-m2 Rope: 3 kel a) Show that the equivalent moment of inertia of the motor and drumgearbox is 2695 kg-m the drum byArthis instant, determine the motor toreue requinedifthe load is accelerating q t the load s accelerating upward at 3.5 s-140 lb 12 lb/in. 8 in. Problem 5-54 what are the values of the reaction forces O r1=150KNM r2=177KN O r1=177KN, r2=150KN O r1=177.9167N, r2=157.0833KN O r1=171.9KN, r2=150KN
- Figure x A D M₁ M₂ wwww MB с P 1 of 1 Part B For the same mechanism, find expressions for dyB and dyc, the virtual displacements of joints B and C, respectively, in terms of the angle, 0; the virtual rotation, 60; and the length, L. Neglect the weight of the links. Express your answers in terms of 0, 80, and L separated by a comma. ► View Available Hint(s) ΓΨΠ ΑΣΦ | vec ? був, бус =Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.The inclined beam represents a ladder with the Following applied loads: the weight (W) of the house painter and the distributed weight (u) of the ladder itself. Find support reactions at A and B: then plot axial force (N), shear (V), and moment (M) diagrams. Label all critical N, V, and M values and also the distance to points where any critical ordmates are zero. Plot N, V, and M diagrams normal to the inclined ladder. Repeat part (a) for the case of the ladder suspended from a pin at B and traveling on a roller support perpendicular to the floor at A.
- 3. Figure 3 shows a brake pedal assembly from a car. Under the action of an applied foot force, the pedal lever acts against the fixed pivot and transfers load to the brake cylinder via an actuation rod. The pedal lever is of hollow section, three-sided form with section dimensions as shown in the figure (Section A-A). Via consideration of the pedal lever as a free body, calculate the reactions acting at the fixed pivot and the 10 mm dia. pin. (hint-take the pin and the pivot as supports) Draw the bending moment diagram for the pedal lever and determine the maximum tensile and compressive stresses arising if a force of 1.3 kN is applied at the foot pedal as shown in Figure 3. (hint -exclude the areas of the holes) [Ans ot = 134 N/mm² oc = 215 N/mm*] i. ii. Fixed pivot 10 mm dia. pin 30 mm 5 mm 10 mm 3 mm Actuates brake throughout cylinder > 15 mm 1.3 kN Section A-A Floor pan Foot pedal force Pedal lever Figure 3 Brake pedal assembly from a car 100 200 mm mmA 120 N is at rest on a rough in a line making an angle of 20° with the horizontal. The roller has a radius of 0.40 m. as indicated in the figure. a.Calculate the force P that is required to push the roller at rest on the rough incline surface. b. Calculate the normal reaction at the point of contact between the roller and the rough inclined surface. c.Calculate the force P required to pull the roller at rest on the rough incline surface.4/19 Calculate the forces in members CF, CG, and EF of the loaded truss. Ans. CF = 1538 lb C, CG = 4170 lb T, EF = 0 2000 lb D 10 E 10 2000 lb C 13' F 10 16 B 10 H 26' Problem 4/19
- The figure shows a uniform beam of mass m pivoted at its lower end, with a horizontal spring attached between its top end and a vertical wall. The beam makes an angle e with the horizontal. (a) Find an expression for the distance d the spring is stretched from equilibrium. (Use any variable or symbol stated above along with the following as necessary: k and g.) d = (b) Find expressions for the components of the force exerted by the pivot on the beam. (Use the following as necessary: m, k, g, and 0. Assume the positive x-direction is to the right and the positive y direction is upward.) Ry- Ry=Shown below is a picture of a Go-Kart which weighs 300# (with the rider), distributed with 60% of the weight on the rear axle and 40% on the front axle. The weight from the GoKart is applied to the rear axle at two bearings, as shown by the arrows below. The axle is fabricated from steel (E=30x106 psi) and has a 1.25" outer diameter with a .125" wall thickness. a. Draw the shear and moment diagrams for the axle. You may assume that the axle is simply supported. b. Determine the location (i.e., location on the axle) and magnitude of the maximum bending stress. Draw a cross-section of the axle, indicate the neutral axis, and mark the position of the maximum tensile stress on the cross-section. c. Using superposition, determine the deflection of the axle half way between the two bearings (i.e., 14" from one bearing, as shown). 10" 28" 10" 14" Bearing BearingFor 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)