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A square metal plate 0.180 m on each side is pivoted about

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 3E Chapter 10

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 3E

A square metal plate 0.180 m on each side is pivoted about an axis through point O? at its center and perpendicular to the plate (?Fig. E10.3?). Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 18.0 N, F2 = 26.0 N, and F3 = 14.0 N. The plate and all forces are in the plane of the page.

Step-by-Step Solution:
Step 1 of 3

Solution 3E Before solving this question, let us recall that torque is taken as positive if the force acts counterclockwise and negative if the force acts clockwise. Given, F 1 = 18.0 N Its perpendicular distance from the point O is = 0.180 m/2 = 0.09 m But this force acts clockwise, so the torque will be negative. Therefore, torque due to this force 1 = 18.0 N × 0.09 m = 1.62 N.m Given, F 2 = 26.0 N This force is also at a perpendicular distance of 0.09 m from the point O. This force acts counterclockwise and so its torque will be positive. Torque due to the force F , 2 2 = 26.0 N × 0.09 m = 2.34 N.m Given, F 3 = 14.0 N Let us now find the perpendicular distance of the force F from O. 3 Let the distance be x. 2 2 2 2 From the figure, x = 0.09 + 0.09 = 0.0162 m x = 0.127 m Now, F ac3s counterclockwise, therefore its torque will be taken as positive. Therefore, torque due to the force F is = 14.0 N × 0.127 m = 1.78 N.m 3 3 Therefore, the net torque about the axis passing through O is = + + 1 2 3 = 1.62 N.m + 2.34 N.m + 1.78 N.m = 2.50 N.m Therefore, 2.50 N.m is the net torque.

Step 2 of 3

Chapter 10, Problem 3E is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “A square metal plate 0.180 m on each side is pivoted about an axis through point O? at its center and perpendicular to the plate (?Fig. E10.3?). Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 18.0 N, F2 = 26.0 N, and F3 = 14.0 N. The plate and all forces are in the plane of the page.” is broken down into a number of easy to follow steps, and 75 words. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 3E from chapter: 10 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 3E from 10 chapter was answered, more than 957 students have viewed the full step-by-step answer. This full solution covers the following key subjects: forces, plate, axis, Net, fig. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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