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Den Hartog’s Mechanics

A web-based solutions manual for statics and dynamics

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}.

Problem 14Problem 12

Last modified: January 22, 2009 at 8:32 PM.