Explanation Given: The magnitude of component force, F 1 = 250 N The magnitude of component force, F 2 = 150 N The angle between the component force F 2 and the u axes is 30 ° . The angle between the component force F 1 and the u axes is 30 ° . The angle between the v axes and the u axes is 105 ° . Apply the parallelogram law of addition and triangular rule. Follow the steps to draw the parallelogram law of addition. 1. First join the tails of the given components at a point to make them concurrent. 2. From the head of magnitude of force F 2 , draw a line parallel to the u axes. 3. From the head of magnitude of force F 2 , draw a line parallel to the v axes. 4. Join the above two lines at an intersection point to form the adjacent sides of a parallelogram. 5. Draw the resultant force F R as F 2 at the intersection point. Show the parallelogram law of addition of vectors using above steps as in Figure (1). Show the triangular rule using Figure (1) as in Figure (2). Conclusion: Write the general formula for sine law. A sin a = B sin b = C sin c (I) Here, the sides of the triangle are A , B , and C , and angles are a , b , and c respectively. Rewrite the Equation (I) using Figure (2) to calculate the magnitude of component force F 2 acting along v axis ( F 2 ) v . ( F 2 ) v sin a = F 2 sin c (II) Substitute 30 ° for a , 150 N for F 2 , and 75 ° for c in Equation (II)

13th Edition

ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 2.3, Problem 10P

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To resolve: The force F2 into components acting along the u and v axes.

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Chapter 2.3, Problem 9P

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Chapter 2 Solutions

Engineering Mechanics: Statics

Ch. 2.3 - Determine the magnitude of the resultant force...Ch. 2.3 - Determine the magnitude of the resultant force....Ch. 2.3 - Determine the magnitude of the resultant force and...Ch. 2.3 - Resolve the 30-lb force into components along the...Ch. 2.3 - Resolve this force into components acting along...Ch. 2.3 - along the v axis. Prob. F2-6 Ch. 2.3 - Determine the magnitude of the resultant force FR...Ch. 2.3 - If = 60 and F = 450 N, determine the magnitude of...Ch. 2.3 - If the magnitude of the resultant force is to be...Ch. 2.3 - Determine the magnitude of the resultant force FR...

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To resolve : The force F 2 into components acting along the u and v axes.

To resolve: The force F2 into components acting along the u and v axes.

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Chapter 2 Solutions