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- 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 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.
- The two uniform cylinders, each of weight W, are resting against inclined surfaces. Neglecting friction, draw the free-body diagrams for each cylinder and for the two cylinders together. Count the total number of unknowns and the total number of independent equilibrium equations.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 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 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.The homogeneous 80-kg sign is suspended from a ball-and-socket joint at O, and cables AD and BC. Determine the forces in the cables.The 180-kg uniform boom ABC, supported by a horizontal cable at B and a pin at A, carries a 320-kg load at C. Determine the force in the cable and the magnitude of the pin reaction.
- 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.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 spring is connected to a rope that passes over the cylindrical surface and is attached to corner A of the rocker. The spring has a stiffness k and is undeformed when =0. When the weight W is suspended from A, the equilibrium position of the rocker is =30. Determine if this equilibrium position is stable. Neglect the weight of the rocker.