Explanation Given information: The spring has an unstretched length of 0.3 m. The stiffness in the spring is m = 3.86 kg _ . Assumption: Consider the force indicating the right side as positive and left side as negative in horizontal components of forces. Consider the force indicating upward is taken as positive and downward as negative in vertical components of forces. Consider clockwise moment as negative and anti-clock wise moment as positive wherever applicable. Apply the Equation of equilibrium wherever applicable. The acceleration due to gravity is g = 9.81 m/sec 2 . Geometry: Show the free-body diagram of the geometry as in Figure 1. Using Figure 1, Determine the distance y : Determine the distance y using geometrical equation. y = 2 × 0.6 × sin 20 ° y = 1.2 sin 20 ° Determine the stretched length x using the relation: x = y − unstretched length (I) Determine the force in the spring using the relation: F s p = k x (II) Conclusion: Substitute 1.2 sin 20 ° for y and 0.3 m for unstretched length in Equation (I). x = ( 1.2 sin 20 ° − 0 .3 ) Substitute 400 N/m for k and ( 1.2 sin 20 ° − 0 .3 ) for x in Equation (II). F s p = 400 × ( 1.2 sin 20 ° − 0 .3 ) F s p = 44.17 N Segment ACE : Show the free-body diagram of the segment ACE as in Figure 2. Using Figure 2, Moment about point A : Determine the horizontal reaction at point E by taking the moment about point A . ∑ M A = 0 E x ( 1.4 sin 20 ° ) − 2 ( m g ) ( 0

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

13th Edition

ISBN: 9780133027990

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 6.6, Problem 123RP

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The mass m of each uniform link if the angle θ=20° for equilibrium.

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Chapter 6.6, Problem 121RP

Chapter 6.6, Problem 124RP

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Chapter 6 Solutions

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

Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 3FP Ch. 6.3 - Determine the greatest load P that can be applied...Ch. 6.3 - Identify the zero-force members in the truss....Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 1P Ch. 6.3 - Prob. 2P Ch. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss,...

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The mass m of each uniform link if the angle θ = 20 ° for equilibrium.

The mass m of each uniform link if the angle θ=20° for equilibrium.

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Chapter 6 Solutions