Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 7 - Section 7.4 - Inverse Variation - Exercises - Page 288: 40

Answer

$$640\ kg.$$

Work Step by Step

The lever principle states that $$F_1d_1=F_2d_2.$$ To find $d_1$, we subtract the fulcrum distance from the lever length to obtain: $$d_1=3.65-0.45=3.2\ m$$ Then we plug in the given values to get: $$ 90\times 3.2=x\times 0.45\Longrightarrow x=\frac{ 90\times 3.2 }{0.45}=640\ kg.$$
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