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- Find the smallest value of P for which the crate in the Prob. 4.34 will be in equilibrium in the position shown. (Hint: A rope can only support a tensile force.)The homogeneous plate of weight W is supported by a ball-and-socket joint at D and three wires. Draw the FBD of the plate and count the unknowns.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 linkage is made of two homogenous bars of weights shown in the figure. Determine the horizontal force P required to hold the linkage in the position shown.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 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 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 homogeneous plate of weight W is suspended from two cables. Determine the force P that is necessary to keep the plate in the position shown.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.
- Bar AB of negligible weight is supported by a ball-and-socket joint at B and two cables attached at A. Draw the FBD for the bar, recognizing that it is a two-force body. Determine the number of unknowns.The uniform ladder of weight W is raised slowly by applying a vertical force P to the rope at A. Show that P is independent of the angle .Find the force P required to (a) push; and (b) pull the 80-lb homogeneous roller over the 3-in. curb.