Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 9 - Static Equilibrium; Elasticity and Fracture - Problems - Page 252: 10

Answer

$F_A$ is 2940N and $F_B$ is 14,700N

Work Step by Step

We will sum the torques about point B and then sum the forces vertically to solve for the unknown forces; $(+ \circlearrowleft) \sum \tau_B =0$ $F_A*20m-m*g*5m=0$ $F_A=\frac{m*g*5m}{20m}$ $F_A=\frac{1200kg*9.8m/s^2*5m}{20m}$ $F_A\approx2940N$ $(\uparrow +) \sum \overrightarrow{F}_{y} =0 $ $F_B+F_A-m*g=0$ $F_B=F_A+m*g$ $F_B=2940N+1200kg*9.8m/s^2$ $F_B\approx14,700N$
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