Two bars and a torsional spring are used to sup- port a mass m as shown in Fig. bars are negligible and the spring is neutral when e = 0°. Determine the angle 0 for equilibrium if m = 25 kg, L= 1.25 m, and 6 = 150 N · m rad. The masses of the A L. B
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- 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.The uniform bar AB of weight W and length L is pinned to a sliding collar at A and to the sliding rod BD at B. The spring wound around rod BD has a stiffness k and is undeformed when rod AB is in the position =0. Determine the expression for the angle (other than =90 ) at equilibrium and investigate the stability of equilibrium for this position.The stiffness of the ideal spring that is compressed by the slider C is k = 250 N/m. The spring is unstretched when =20. When the mass m is suspended from A, the system is in equilibrium at =60. Determine the value of m and whether the equilibrium position is stable or unstable.
- Determine the largest force P for which the 16-kg uniform bar remains in equilibrium.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.)
- Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.Two concrete blocks weighing 320 lb each form part of the retaining wall of a swimming pool. Will the blocks be in equilibrium when the pool is filled and the water exerts the line loading shown?Find the equilibrium positions of the 30-lb homogeneous bar and investigate their stability.
- The bar ABC is supported by three identical, ideal springs. Note that the springs are always vertical because the collars to which they are attached are free to slide on the horizontal rail. Find the angle at equilibrium if W = kL. Neglect the weight of the bar.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.The three bars are welded together to form a rigid unit that is supported by three slider bearings. Neglecting the weights of the bars, determine the magnitudes of the three bearing reactions caused by the 120-lbin. couple.