(a) Explanation The angles of the components of the force with respect to the origin of the coordinate system are given by θ y = 120 ° and θ z = 75 ° . The x component of force is + 40 N . Write the equation for relation between directional cosines. cos 2 θ x + cos 2 θ y + cos 2 θ z = 1 (I) Here, θ x is the angle between x component of force and the origin of the coordinate system, θ y is the angle between y component of force and the origin of the coordinate system, and θ z is the angle between z component of force and the origin of the coordinate system (b) To determine The magnitude of the force.

12th Edition

ISBN: 9781259977244

Author: BEER

Publisher: MCG

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Chapter 2.4, Problem 2.84P

(a)

To determine

The angle θx made by the x component of force with the origin of the coordinate system.

(b)

To determine

The magnitude of the force.

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Chapter 2.4, Problem 2.83P

Chapter 2.4, Problem 2.85P

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The angle θ x made by the x component of force with the origin of the coordinate system.

Solution Summary: The author analyzes the relationship between the x component of force and the origin of the coordinate system.