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A: In this problem moment area method can be simplified as given below:
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- The mechanism of negligible weight supports the weight W. Find the value of for equilibrium. Is the equilibrium position stable or unstable?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 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 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 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.
- 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.Briefly explain and give one example problem for each of the following conditions of Stable equilibrium.Count the total number of unknowns and the total number of independent equilibrium equations.