Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 5 - Force and Motion-I - Problems - Page 123: 93d

Answer

$152\ N$

Work Step by Step

Let the tension in the top cord be $T_3 = 199\ N$. Let Tension in the middle cord and lower cord be $T_2 $ and $T_1$. Apply Newton's second law of motion for $m_3$ and $m_5$; $(m_3+m_5)g - (T_1+T_2+T_3) = (m_3+m_5)a $ Since masses are at rest $a = 0$: $T_1+T_2+T_3 =(m_3+m_5)g $ $T_2 =(m_3+m_5)g - (T_1+T_3) $ $T_2 = (4.8+5.5)9.8-(199+54)$ $T_2=100.9-253$ $T_2=-152\ N$ The negative sign tells that the direction is upwards.
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