Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 6 - Applications of Newton's Laws - Problems and Conceptual Exercises - Page 184: 86

Answer

$42KN$

Work Step by Step

We can find the required force as follows: $\Sigma F_y=2Tsin22^{\circ}-mg=0$ This simplifies to: $T=\frac{mg}{2sin22^{\circ}}$ We plug in the known values to obtain: $T=\frac{(3500)(9.81)}{2sin22^{\circ}}$ $T=45.8KN$ Now the force in the forward direction is given as $T_x=Tcos22^{\circ}$ $T_x=45.8cos22^{\circ}$ $T_x=42KN$
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