2. The pin-connected mechanism is constrained at A by a pin and at B by a roller. If P = 10 lb, determine the angle for equilibrium. The spring is unstretched when 0 = 45. Neglect the weight of the members. 0.5 ft wwwwwwwww k = 50 lb/ft B 0.5 ft 0.5 ft
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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.Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.Find the equilibrium positions of the 30-lb homogeneous bar and investigate their stability.
- 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.Draw the FBDs for the beam ABC and the segments AB and BC. Note that the two segments are joined by a pin at B. Count the total number of unknowns and the total number of independent equilibrium equations.The 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.
- 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 40-kghomogeneous disk is placed on a frictionless inclined surface and held in equilibrium by the horizontal force P and a couple C (C is not shown on the figure). Find P and C.Draw the FBDs for the entire structure and the member BDE. Count the total number of unknowns and the total number of independent equilibrium equations. Note that the cable that supports the 1200-lb weight runs over a smooth peg at D.
- 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 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.Determine the stretch in each spring for for equilibrium of the 1.8-kg block. The springs are shown in the equilibrium position. (Figure 1) No elements selected 3m 4 m 3 m kAC = 20 N/m igure kan = 30 N/m www 1 of 1 3 m 4 m kAD- 40 N/m 3 m kAc = 20 N/m kAn- 30 N/m www kAD- 40 N/m Select the elements from the list and add them to the canvas setting the appropriate attributes.