International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Textbook Question
Chapter 5, Problem 5.1P
Bar AB of negligible weight is supported by a ball-and-socket joint at B and two cables attached at A. Draw the FBD for the bar, recognizing that it is a two-force body. Determine the number of unknowns.
Expert Solution & Answer
To determine
Number of unknowns.
Answer to Problem 5.1P
Number of unknown forces are 2.
Explanation of Solution
Given Information:
Bar AB of negligible weight is supported by ball and socket joint at B and two cables attached at A. See the figure below:
Calculation:
Draw free body diagram as shown in the following figure:
There are three unknown reaction forces at B as
Also there are two unknown tension forces at A as,
So there are 5 unknowns in total.
Also, forces at A and B can be reduced to their corresponding resultant at A and B respectively. So there are only 2 unknowns.
Conclusion:
Therefore, there are 2 unknown forces in the system.
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Chapter 5 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 5 - Bar AB of negligible weight is supported by a...Ch. 5 - Draw the FBD for the bar described in Prob. 5.1 if...Ch. 5 - The space truss ABCD in the shape of a tetrahedron...Ch. 5 - Draw the FBD of the portion BCD of the space truss...Ch. 5 - The homogeneous plate of weight W is supported by...Ch. 5 - The bar ABCD of negligible weight is supported by...Ch. 5 - The shaft-pulley assembly is supported by the...Ch. 5 - The 60-lb homogeneous door is supported by hinges...Ch. 5 - Draw the FBD for bar BCD. The connections at A and...Ch. 5 - The homogeneous 360-lb plate with a rectangular...
Ch. 5 - The L-shaped rod, supported by slider bearings at...Ch. 5 - The homogeneous 240-lb bar is supported by a rough...Ch. 5 - In Sample Problem 5.4, determine the tension TAC...Ch. 5 - In Sample Problem 5.5, compute the tension TAD...Ch. 5 - In Sample Problem 5.5, determine Oy with one...Ch. 5 - Determine the tension TB in Sample Problem 5.6...Ch. 5 - Compute the tension TAE in Sample Problem 5.7...Ch. 5 - The 80-lb homogeneous plate is suspended from four...Ch. 5 - The three bars are welded together to form a rigid...Ch. 5 - The compound bar is supported by a thrust bearing...Ch. 5 - The homogeneous 20-kg door is held in the...Ch. 5 - The light boom AB is attached to the vertical wall...Ch. 5 - The homogeneous 80-kg sign is suspended from a...Ch. 5 - The bar ABC is supported by a ball-and-socket at A...Ch. 5 - Determine the forces in members PAE,PAF, and PBG...Ch. 5 - The figure shows the FBD of a portion of the space...Ch. 5 - Calculate all forces acting on the bar AB...Ch. 5 - Determine the forces in members AD, BD, and CD of...Ch. 5 - Find the tension in cable BE that supports the bar...Ch. 5 - For the structure in Prob. 5.9, determine the...Ch. 5 - Calculate the reaction at D for the structure...Ch. 5 - Calculate the reaction at D for the structure...Ch. 5 - Determine the tension in each of the three ropes...Ch. 5 - Using only one equilibrium equation, compute the...Ch. 5 - The homogeneous 25-kg bar AB is supported by a...Ch. 5 - The shaft AB is supported by a thrust bearing at A...Ch. 5 - The bar ABCD has a built-in support at A....Ch. 5 - The total weight of the L-shaped beam of constant...Ch. 5 - The bent rod of negligible weight is supported by...Ch. 5 - A 120-lb weight is attached to the cable that is...Ch. 5 - Calculate the force in cable CD and the reaction...Ch. 5 - The 350-lb homogeneous plate has the shape of an...Ch. 5 - The bent rod ABCD is supported by a...Ch. 5 - A hoist is formed by connecting bars BD and BE to...Ch. 5 - The crank arm OD of the winch is connected by a...Ch. 5 - The 80-lb homogeneous plate is supported by a...Ch. 5 - The frame is built into the wall at D and G. The...Ch. 5 - The bent bar of negligible weight is supported by...Ch. 5 - Determine the reactions at ball-and-socket joints...Ch. 5 - The 180-lb homogeneous bar is supported by a...Ch. 5 - The bent rod is supported by a ball-and-socket...Ch. 5 - Find the maximum load P that can be supported by...Ch. 5 - The vertical mast OA, which weighs 1.5 kN, is...Ch. 5 - The homogeneous bar AB weighs 50-lb. End B leans...Ch. 5 - The 500-kg crate is supported by the three cables....Ch. 5 - The uniform bars AB and BC each weigh 4 lb/ft....Ch. 5 - The rigid body of negligible weight is supported...Ch. 5 - The homogeneous 860-kg bar AB is supported by a...Ch. 5 - The triangular plate is supported by three...Ch. 5 - The connections at the ends of bars AB and BC arc...Ch. 5 - The bar AEB is supported by a ball-and-socket...Ch. 5 - The shaft is supported by a thrust bearing at A...
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