(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.

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ISBN: 9781259977121

Author: BEER

Publisher: MCG

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The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its enviro…

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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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Chapter 2 Solutions

VECTOR MECHANICS FOR ENGINEERS: STATICS

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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.

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

The magnitude of the force.

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Chapter 2 Solutions

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.

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The angle θx<m:math><m:mrow><m:msub><m:mi>θ</m:mi><m:mi>x</m:mi></m:msub></m:mrow></m:math> made by the x<m:math><m:mi>x</m:mi></m:math> component of force with the origin of the coordinate system.

The magnitude of the force.

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Chapter 2 Solutions

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