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Determine the magnitude P of the force required to rotate the release pawl OB counterclockwise from its locked position. The torsional spring constant is
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Engineering Mechanics: Statics
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- The hand brake for a bicycle is shown. Portions DE and FG are free to rotate on bolt A which is screwed into the frame BC of the bicycle. The brake is actuated by a shielded cable where T1 is applied to point E and T2 is applied to point G. A spring having 40 N compressive force is placed between points E and G so that the brake stays open when it is not being used. Assume the change in the spring's force is negligible when the brake is actuated to produce the F = 100 N forces at points D and F. Determine the necessary cable forces T1 in N.arrow_forwardThe scissors linkage is subjected to a force of P = 150 N as shown in the figure below. Thespring is unstretched at θ = 0◦. All links have equal length of 0.3 m. Using the principles of virtualwork, determine the equation in terms of θ, for the system to be in equilibrium. Neglect the massof the links. Find the numerical value of θ, by solving the equation that you have obtained,using a numerical method. Hint: You may look for a trial and error method, or Newton’s bisectionmethod, or Newton-Raphson method, etc. Please solve the questionarrow_forwardA rear suspension system for a front wheel-drive vehicle is shown here. Spring EF is offset behind member CD. The normal force due to contact between the wheel and the road is 4200 N. Assume the weight of the wheel and suspension system components is negligible. Determine the magnitude of the member CD. Is the member in tension or compression? Determine the support reactions at A. Determine the unstretched length of the spring EF given a spring constant of 150 kN/m.arrow_forward
- 3. Determine the reactions at the pin support and the applied moment if the bar of Figure 3 has a mass of 50 g. If 0 is 15° and the angular acceleration is 20 rad/s? M 3 m W Figure 3arrow_forward4-16. For the arrangement shown, x represents the absolute displacement of the mass m, and y is the absolute displacement of the end A of the spring k. Point A is moved according to the relation y = Y sin wt. (a) Construct the free-body diagram for m. (b) Write the differential equation of motion for m. (c) Obtain bont the solution for the steady-state motion of m. (d) Determine the relation for the impressed force at A. (e) Obtain the expression for the force transmitted to the motion. %3D support at B. y = Y sin wet k B Problem 4-16arrow_forwardA force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn without slipping on the two rollers A and B of the dispenser. Neglect the mass of the cable. Each roller can be considered as an 18-kg cylinder, having a radius of 0.1 m. The radius of gyration of the reel about its center axis is kg = 0.42 m. (Figure 1) Figure 30% 250 mm OG 500 mm A o OB 400 mm-arrow_forward
- The bars shown are the same length. The spring is unstretched when alpha= 90°; the horizontal surface is smooth. For what value of a between 0 and 90° will the system remain in equilibrium?arrow_forwardQ1-Consider the below hip joint prosthesis. When standing symmetrically on both feet, a joint reaction force of F =350N is acting at the femoral head (point A) due to the body weight of the patient. The geometric parameters of the prosthesis are l1= 30 mm, l2= 40 mm, θ1= 35°, θ2= 100°. Determine the moments generated by force F about points C on the prosthesis when force F applies along line AB.arrow_forwardDetermine the n- and t-components of the force F which is exerted by the rod AB on the crank OA. Evaluate your general expression for F = 118 N and (a) e = 30°, B = 25° and (b) e = 21°, B = 29° Answers: (a) Fn= i N, F: = i N (b) Fn = i N. F:= Narrow_forward
- The four-bar mechanism lies in a vertical plane and is controlled by link OA which rotates counterclockwise at a steady rate of 60 rev/min. Determine the torque M which must be applied by the actuator at O when the link OA is at angle 0 = 45°. The uniform coupler link AB has a mass of 7 kg, and the masses of the link OA and BC may be neglected. (see Figure 3) 200 mm CO Moment of Inertial of a slender rod 1 1 = ML² 12 m[² I || = 1 B w/ •m[² 190 mm 240 mm M Figure 3. 70 mm OA = 80 mmarrow_forwardThe collar bearing carries the axial load P = 400 N. Assuming uniform pressure between the collar and the horizontal surface, determine the couple C required to start the shaft turning. Use s=0.15 for the coefficient of static friction.arrow_forwardThe 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.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L