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- The uniform bar of weight W is held in equilibrium by the couple C0. Find C0 in terms of W, L, and .The connections at the ends of bars AB and BC arc ball-and-socket joints. Neglecting the weights of the bars, determine the force in cable DE and the reaction at A.Neglecting friction, determine the relationship between P and Q, assuming that the mechanism is in equilibrium in the position shown.
- The mechanism of negligible weight supports the weight W. Find the value of for equilibrium. Is the equilibrium position stable or unstable?The weight of the uniform bar AB is W. The stiffness of the ideal spring attached to B is k, and the spring is unstretched when =80. If W=kL, the bar has three equilibrium positions in the range 0, only one of which is stable. Determine the angle at the stable equilibrium position.Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.
- 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 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 spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest spring stiffness k for which the =0 equilibrium position will be stable. Use W = 10 lb, a = 24 in., and b = 6 in. Assume that the spring remains horizontal, which is a valid approximation if is small.
- Find the tension T in the cable when the 180-N force is applied to the pedal at E. Neglect friction and the weights of the parts.Determine the tension TB in Sample Problem 5.6 using one scalar equilibrium equation.The homogeneous 40-kg basr ABC is held by a horizontal rope attached to end C. Neglecting friction, determine the tension in the rope.