A large crate with mass m rests on a horizontal floor. The coefficients of frict

Question

A large crate with mass m rests on a horizontal floor. The coefficients of friction between the crate and the floor are mu Us and mu Uk. A woman pushes downward at an angle theta below the horizontal on the crate with a force vector F.

(A) What magnitude of forcevector Fis required to keep the crate moving at constant velocity?

(B) Ifmu USis greater than some critical value, the woman cannot start the crate moving no matter how hard she pushes. Calculate this critical value of mu Us.

Explanation / Answer

a) for moving at constant velocity force should be uk(F sin theta + mg)=F cos theta =>F= uk mg/(cos theta - uk sin theta) b)us(mg +F sin theta) =F cos theta us= F cos theta/(mg +F sin theta)

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