Den Hartog’s Mechanics
A web-based solutions manual for statics and dynamics
The book
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Problems solved:
1–.
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Problem 13
This is a great problem for solving with a spreadsheet. Here’s one way to lay out the solution.
| Bucket | Angle | Lever arm | Force | Moment |
|---|---|---|---|---|
| 2 | 10.0 | 1.389 | 50 | 69.5 |
| 3 | 32.5 | 4.298 | 75 | 322.4 |
| 4 | 55.0 | 6.553 | 75 | 491.5 |
| 5 | 77.5 | 7.810 | 75 | 585.8 |
| 6 | 100.0 | 7.878 | 50 | 393.9 |
| 7 | 122.5 | 6.747 | 25 | 168.7 |
| Total | 2031.7 |
The lever arm is calculated through the formula 8 \cdot \sin \theta. The answer given in the back of the book is rounded to 2032\:\rm{lb}\cdot \rm{ft}.
Last modified: January 22, 2009 at 8:32 PM.