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 254: 21

Answer

The force at support B is 11,000N. The reaction at the wheel A is 13,000N.

Work Step by Step

1) Sum the torques about point A $(+ \circlearrowleft) \sum \tau_A=0$ $-2.5m*Mg+B*5.5m=0$ $B=\frac{2.5m*Mg}{5.5m}$ $B=\frac{2.5m*2500kg*9.8m/s^2}{5.5m}$ $B\approx11000N$ The force at support B is 11,000N 2) Sum the forces vertically $(\uparrow +) \sum \overrightarrow{F}_{y} =0 $ $A+B-Mg=0$ $A=-B+Mg$ $A\approx-11000N+2500kg*9.8m/s^2$ $A\approx13000N$ The reaction at the wheel A is 13,000N.
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