SOLUTION: A box weighing 543 N is at rest on a ramp at an angle of 15 with the horizontal. The coefficient of static friction between the box and ramp is 0.73. Find the minimum force requir

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Question 858622: A box weighing 543 N is at rest on a ramp at an angle of 15 with the horizontal. The coefficient of static friction between the box and ramp is 0.73. Find the minimum force required to move the box down the ramp if the force is applied parallel to the ramp.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Break down the forces acting on the box.
Gravity force (F%5Bg%5D) acts normal to the plane and down the plane.
Friction (F%5Bf%5D) acts up the plane.
The minimum force (F%5Bm%5D acts down the plane.
F%5Bm%5D%2BF%5Bg%5D=F%5Bf%5D
F%5Bm%5D%2Bmgsin%2815%29=mu%2Amgcos%2815%29
F%5Bm%5D%2B543sin%2815%29=0.73%28543%29cos%2815%29
F%5Bm%5D%2B140.5=382.9
F%5Bm%5D=242.4N