Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 4 - Forces and Newton's Laws of Motion - Problems - Page 116: 61

Answer

The normal force on the table is $62N$.

Work Step by Step

The normal force $F_N$ acting on the table is balanced by the vertical forces from box 1 and box 2. $$F_N=\sum F_{1, y}+\sum F_{2, y}$$ - For box 1, it is simply the weight of it $$\sum F_{1, y}=m_1g=55N$$ - For box 2, the weight of it is opposed by the tension of the rope, which is caused by the weight of box 3. In other words, $$\sum F_{2, y}=m_2g-T=m_2g-m_3g=35-28=7N$$ Therefore, $$F_N=55+7=62N$$
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