Find Force?

2015-10-22 4:04 am
A 100kg crate is pushed at a constant speed up a frictionless ramp (theta=30 degrees) by a horizontal force F.
a.) Find F
b.) the force of the crate on the ramp?

回答 (1)

2015-10-22 10:56 pm
✔ 最佳答案
a) "constant speed" means equilibrium -- the component of the applied force upslope is equal to the component of the weight downslope.

F*cos30º = mg*sin30º
F = mg*tan30 = 100kg * 9.81m/s² * 0.577 = 566 N

b) Both the crate and the applied force have components perpendicular to the ramp. The total reaction force
R = mg*cosΘ + F*sinΘ = 100kg * 9.81m/s² * cos30º + 566N * sin30º
R = 1133 N

Hope this helps!


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