Determine the tension in the cable and the horizontal and vertical components of reaction of the pin A. The pulley at D is frictionless and the cylinder weighs 80 lb. B 5 ft 5 ft
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Q: 2. The structure shown is in equilibrium and its weight is negligible. Be- cause of the roller, the…
A: The problem is based on applied mechanics and can be solved as:
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A: Option B is correct. Step by step solution is given below.
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A: Consider the free body diagram as shown below.
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Q: Determine the tension in the cable and the horizontal and vertical components of reaction of the pin…
A: F.B.D.:
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A: Option C is correct. As shown below, steps to solve it using Lamis theorem
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- 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.Determine the largest force P for which the 16-kg uniform bar remains in equilibrium.Neglecting friction, determine the relationship between P and Q, assuming that the mechanism is in equilibrium in the position shown.
- 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 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 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 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 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.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 device shown is an overload prevention mechanism. When the force acting on the smooth peg at D reaches 1.2 kN, the peg will be sheared, allowing the jaws at C to open and thereby releasing the eye-bolt. Determine the maximum value of the tension P that can be applied without causing the eyebolt to be released. Neglect friction.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.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.)