(a) Explanation The magnitude of the force F acting on the origin of the coordinate system is 210 N . The x component of the force is F x = 80 N and the angle the z component makes with the origin of the coordinate system is θ z = 151.2 ° . Write the equation to find z component of force. F z = F cos θ z . (I) Here, F z is the z component of force, F is the magnitude of force and θ z is the angle the z component of force makes with the origin of the coordinate system. Write the equation for the square of the magnitude of the force in terms of the components of force. F 2 = F x 2 + F y 2 + F z 2 (II) Here, F is the magnitude of total force acting on the origin of the coordinate system, F x is the x component of force and F y is the y component of force. Conclusion: Substitute 210 N for F and 151.2 ° for θ z in equation (I). F z = ( 210 N ) cos ( 151 (b) To determine The angles θ x and θ y made by the x and y components of force with the origin of the coordinate system.

Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259638091

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 2.4, Problem 2.83P

(a)

To determine

The components of the force Fy and Fz.

(b)

To determine

The angles θx and θy made by the x and y components of force with the origin of the coordinate system.

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Chapter 2.4, Problem 2.82P

Chapter 2.4, Problem 2.84P

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The components of the force F y and F z .

Solution Summary: The author explains the components of the force: F_y=underset.