Explanation Given information: The horizontal force P is 200 lb. The weight W D of the disk D is 200 lb. The weight W E of the disk E is 100 lb. Consider the disk E: Show the free body diagram of the disk E as in Figure (1). Use Figure (1). Along the horizontal direction: Assumption: Towards right is positive. Apply the equation of equilibrium in the x -axis. ∑ F x = 0 − P + N ′ ( 24 5 ) = 0 (I) Here, the normal force from the surface is N ′ and the resolving angle of N ′ is ( 24 5 ) . Along the vertical direction: Assumption: Upward is positive. Apply the equation of equilibrium in the y -axis. ∑ F y = 0 N C − W E − N ′ ( 1 5 ) = 0 (II) Here, the resolving angle of N ′ is ( 1 5 ) . Consider the disk D : Show the free body diagram of the disk D as in Figure (2). Use Figure (2). Along the horizontal direction: Assumption: Towards right is positive. Apply the equation of equilibrium in the x -axis. ∑ F x = 0 N A ( 4 5 ) − N ′ ( 24 5 ) = 0 (III) Here, the resolving angle of N A is ( 4 5 ) , the normal force from the surface is N ′ , and the resolving angle of N ′ is ( 24 5 ) . Along the vertical direction: Assumption: Upward is positive. Apply the equation of equilibrium in the y -axis. ∑ F y = 0 N A ( 3 5 ) + N B − W D + N ′ ( 1 5 ) = 0 (IV) Here, the resolving angle of N A is ( 3 5 ) and the resolving angle of N ′ is ( 1 5 )

Engineering Mechanics: Statics and Study Pack (13th Edition)

13th Edition

ISBN: 9780133027990

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 5.4, Problem 22P

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The normal reactions at the points of contact with the ground at A, B, and C.

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Chapter 5.4, Problem 21P

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Chapter 5 Solutions

Engineering Mechanics: Statics and Study Pack (13th Edition)

Ch. 5.2 - Prob. 1P Ch. 5.2 - Prob. 2P Ch. 5.2 - Prob. 3P Ch. 5.2 - Prob. 4P Ch. 5.2 - Prob. 5P Ch. 5.2 - Prob. 6P Ch. 5.2 - Prob. 7P Ch. 5.2 - Prob. 8P Ch. 5.2 - Prob. 9P Ch. 5.4 - Determine the horizontal and vertical components...

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The normal reactions at the points of contact with the ground at A , B , and C .

The normal reactions at the points of contact with the ground at A, B, and C.

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Chapter 5 Solutions