Explanation Given: The magnitude of component force, F 1 = 80 lb . The magnitude of component force, F 2 = 130 lb . The angle between resultant force and F 1 is 30 ° . The angle between resultant force and x axes is 40 ° . Show the magnitude of component forces F 1 and F 2 as in Figure (1). Calculate the magnitude of vector force F 1 in Cartesian vector form using Figure (1). F 1 = [ F 1 cos 30 ° cos 40 ° i − F 1 cos 30 ° sin 40 ° j + 80 sin 30 ° k ] lb (I) Substitute 80 lb for F 1 in Equation (I). F 1 = [ 80 cos 30 ° cos 40 ° i − 80 cos 30 ° sin 40 ° j + 80 sin 30 ° k ] lb = [ 53 .1 i − 44.5 j + 40 k ] lb Calculate the magnitude of vector force F 2 in Cartesian vector form using Figure (1). F 2 = ( − F 2 k ) lb (II) Substitute 130 lb for F 2 in Equation (II). F 2 = ( − 130 k ) lb Calculate the resultant vector force F R in Cartesian vector form. F R = F 1 + F 2 (III) Substitute [ 53 .1 i − 44.5 j + 40 k ] lb for F 1 and ( − 130 k ) lb for F 2 in Equation (III). F R = { [ 53 .1 i − 44.5 j + 40 k ] lb } + { ( − 130 k ) lb } = [ 53

Engineering Mechanics: Statics & Dynamics (14th Edition)

14th Edition

ISBN: 9780133915426

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 2.6, Problem 63P

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The magnitude and coordinate direction angles, α,β and γ of the resultant force FR.

Draw the obtained vector on the coordinate system.

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Chapter 2.6, Problem 62P

Chapter 2.6, Problem 64P

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Chapter 2 Solutions

Engineering Mechanics: Statics & Dynamics (14th Edition)

Ch. 2.3 - In each case, construct the parallelogram law to...Ch. 2.3 - In each case, show how to resolve the force F into...Ch. 2.3 - Determine the magnitude of the resultant force...Ch. 2.3 - Two forces act on the hook. Determine the...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 - The force F = 450 lb acts on the frame. Resolve...Ch. 2.3 - If force F is to have a component along the u axis...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...

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The magnitude and coordinate direction angles, α , β and γ of the resultant force F R . Draw the obtained vector on the coordinate system.

Solution Summary: The author shows the magnitude and coordinate direction angles of the resultant force F_R.

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The magnitude and coordinate direction angles, α,β and γ of the resultant force FR.

Draw the obtained vector on the coordinate system.

Want to see the full answer?

Chapter 2 Solutions

The magnitude and coordinate direction angles, α , β and γ of the resultant force F R . Draw the obtained vector on the coordinate system.

Solution Summary: The author shows the magnitude and coordinate direction angles of the resultant force F_R.

Videos

The magnitude and coordinate direction angles, α,β and γ of the resultant force FR. Draw the obtained vector on the coordinate system.

Want to see the full answer?

Chapter 2 Solutions

The magnitude and coordinate direction angles, α,β and γ of the resultant force FR.

Draw the obtained vector on the coordinate system.