Explanation Given information: 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 ° . Calculation: 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 Substitute 80 lb for F 1 . 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 Substitute 130 lb for F 2 . F 2 = ( − 130 k ) lb Calculate the resultant vector force F R in Cartesian vector form. F R = F 1 + F 2 Substitute [ 53 .1 i − 44.5 j + 40 k ] lb for F 1 and ( − 130 k ) lb for F 2 . F R = { [ 53 .1 i − 44.5 j + 40 k ] lb } + { ( − 130 k ) lb } = [ 53

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

5th Edition

ISBN: 9780134301006

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 2.6, Problem 41P

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Determine 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 40P

Chapter 2.6, Problem 42P

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Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

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Determine 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 calculates the magnitude and coordinate direction angles of the resultant force F_R.

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Determine 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

Determine 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 calculates the magnitude and coordinate direction angles of the resultant force F_R.

Videos

Determine 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

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

Draw the obtained vector on the coordinate system.