2. Determine the angle 0 at which the bar AB is in equilibrium if W = 5x.yz N. Neglect the weight of the bar and friction.
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- The 14-kN weight is suspended from a small pulley that is free to roll on the cable. The length of the cable ABC is 20 m. Determine the horizontal force P that would hold the pulley in equilibrium in the position x=5m.The 30-lb block is held in place on the smooth inclined plane by the force P. (a) Knowing that =20, determine P. (b) Given that P=40lb, find the angle .The uniform, 30-lb ladder is raised slowly by pulling on the rope attached at A. Determine the largest angle that the ladder can attain if the maximum allowable tension in rope BC is 120 lb.
- Determine the ratio P/Q of the forces that are required to maintain equilibrium of the mechanism for an arbitrary angle . Neglect the weight of the mechanism.The woman is trying to move the crate of weight W by pulling on the rope at the angle to the horizontal. Find the smallest possible tension that would cause the crate to slide and the corresponding angle .The two uniform cylinders, each of weight W, are resting against inclined surfaces. Neglecting friction, draw the free-body diagrams for each cylinder and for the two cylinders together. Count the total number of unknowns and the total number of independent equilibrium equations.
- Find the largest value of b/h at which the folding table is in equilibrium. The coefficients of static friction are 0.5 at A and 0.3 at C. Neglect the weight of the table.The cable of mass 1.8 kg/m is attached to a rigid support at A and passes over a smooth pulley at B. If the mass M = 40 kg is attached to the free end of the cable, find the two values of H for which the cable will be in equilibrium. (Note: The smaller value of H represents stable equilibrium.)The 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.
- The homogeneous 240-lb bar is supported by a rough horizontal surface at A, a smooth vertical surface at B, and the cable BC. Draw the FBD of the bar and count the unknowns.The spring attached to the sliding collar is capable of carrying tension and compression. The spring has a stiffness k = 1.5 lb/in., and its free length is 1.5L. If the System is known to be in equilibrium in the position =30, determine the weight W of the slider.The pulley-cable system supports the 150-lb weight. The weights of the pulleys and the horizontal bar ABC are negligible. Determine the cable tensions at A and C and the distance x.