University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 5 - Applying Newton's Laws - Problems - Exercises - Page 165: 5.63

Answer

The tension in cable C is 1200 N. The tension in cable B is 4970 N.

Work Step by Step

The horizontal component of the tension $T_c$ in cable C is equal in magnitude to the tension in cable A. $T_c~sin(37.1^{\circ}) = 722~N$ $T_c = \frac{722~N}{sin(37.1^{\circ})}$ $T_c = 1200~N$ The tension in cable C is 1200 N. The tension $T_b$ in cable B is equal in magnitude to the sum of the vertical component of cable C and the tension in cable D (which is equal to the weight of the engine). $T_b = 1200~cos(37.1^{\circ}) + (409~kg)(9.80~m/s^2)$ $T_b = 4970~N$ The tension in cable B is 4970 N.
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