Chapter 3, Problem 59P

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 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 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 vertical mast supports the 3.5-kN force F and is constrained by the two fixed cables BC and BD and by a ball-and-socket connection at A. Calculate the tension T₁ in BD. Can this be accomplished by using only one equation of equilibrium? Assume a 5.8 m, b=3.7 m, c-2.1 m, h = 4.6 m. B T₂ Answer: T₁ = i 2 -14 CO L T₁ b kN

a. draw the Fbd acting at point E b. solve for Fed and W assume equilibrium c. draw Fbd considering the forces at point D. d. solve P and Fdg consider the spring as cable here

Determine the force in cables AB, AC, CD, CE, and CF needed to support the 500-lb crate. Complete solutions must include all required free body diagrams. Hint: First analyze the equilibrium of point A, then using the results for AC, analyze the equilibrium of point C. 24 ft 24 ft D-10 ft- 7 ft E 7 ft 35° F 20⁰ X

Problem 4 The block D has a weight of 400 lb. The block B has a weight of 280 lb. Find the weight of block C and angle at the equilibrium. B D 30° C

Consider the following system in static equilibrium. Force vector Facts at a distance from the pin support at point O. Draw appropriate FBD as necessary. Assume frictionless pulleys If the reaction forces at O is zero and magnitude F is 169N, a. Find F and "a". (F need not necessarily be in the 4 quadrant as shown below) b. Find reaction forces at B. 4m Im 5m 12

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