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Mechanics: Statics question?
The tow truck's front wheels will be lifted off the ground if the moment of the load W about the rear axle exceeds the moments of the 31,000-N weight of the block. Determine the largest W that may be safely applied
image link: http://img198.imageshack.us/img198/7369/truckd.jpg or
http://i.picyou.com/W4VLzb.jpg
the book says the answer is 3007.9 N but I can't come up with the answer. I keep on geting 24,000+ N
thanks
2 Answers
- MadhukarLv 79 years agoFavorite Answer
Refer to the figure in the link as under:
http://www.flickr.com/photos/52771834@N00/76830816...
tanθ
= (2 + 3sin30°) / (5 - 3cos30°)
= (3.5) / (5 - 3√3/2)
=> θ = 55.54°
=> W(max) * 5sinθ = 31000 * 4
=> W(max)
= 124000/5sin(55.54°)
=
=30078.2 N.
Edit:
Link to the figure posted above.
- DeanLv 69 years ago
The lever arm of the force W normal to the force and through the rear axle is also 4 m long , so the clockwise force will be also 31,000 N.
