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A horizontal force of P=150N is just sufficient to hold the crate from sliding d

ID: 2144560 • Letter: A

Question

A horizontal force of P=150N is just sufficient to hold the crate from sliding down the plane, and a horizontal force of P=330N is required to just push the                     crate up the plane. Determine the coefficient of static friction between the plane and the crate, and find the mass.
                    
                    


I understand the equations I need to solve for are:


150cos30 + ?Wcos30 + 150? sin30 = Wsin30


and


350cos30 = Wsin30 + ?Wcos30 + 350? sin30


But how do I solve them? There are two different variables and I don't have the mass of the crate. And if I assume W = 9.81 then I get -1.96 as my coefficiant of friction, which is obviously wrong.


Any help with this is appreciated.

Explanation / Answer

alrigth


150cos30 + ?Wcos30 + 150? sin30 = Wsin30 ,



350cos30 = Wsin30 + ?Wcos30 + 350? sin30


W= 415.139


and


u =0.178