The vertical mast supports the 4.1-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 = 6.0 m, b = 3.6 m, c = 1.7 m, h = 5.2 m. T2 F Answer: T₁ = i B h h T₁ b \c kN

The vertical mast supports the 4.1-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 = 6.0 m, b = 3.6 m, c = 1.7 m, h = 5.2 m. T2 F Answer: T₁ = i B h h T₁ b \c kN

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.90P: The 14-kN weight is suspended from a small pulley that is free to roll on the cable. The length of...

See similar textbooks

Similar questions

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.
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.
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 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 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.
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.
The upper end of the bar of a problem is now leaned against a non vertical wall. Determine the minimum value of the angle θ for which equilibrium is possible for μs = 0.25 and for μs = 0.50
The mass of crate D is held in position by two blocks, B and C, which are attached to the ring at A. The angle that rope AC makes in a counterclockwise direction from the positive x-axis is theta=30 rad as shown. The mass of block B is equal to that of C, mB=mC=158 kg a) draw the free body diagram of the point of equilibrium b) write down the static equilibrium equations c) determine the angle phi and tge weight of block D f) why will point A be the midpoint between B and C? Explain e) if all three weights are equal can equilibrium be maintained?
Masses M1 and M2 are held on the frictionless inclined plane by a rigid inextensible bar of length l as shown in diagram find the angle θ under equilibrium condition in terms of M1, M2 and θ1
Determine the force components acting on the ball-and-socket at A , the reaction at the roller at B and the tension on the cord CD needed for equilibrium of the quarter circular plate as shown in the figure.