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## Homework Statement

An artist must push with a minimum of 75N at an angle of 45° to a picture to hold it in equilibrium. The coefficient of friction between the wall and the picture frame is 0.30. What is the mass of the picture?

## Homework Equations

ΣF=0

F

_{fr}=μF

_{N}

F=ma

## The Attempt at a Solution

I set up an equilibrium equation of the y components of all the forces to find the mass. the y components would be, the force of gravity acting on the picture, the force of friction between the picture and the wall, and the y component of the applied force of the artist on the picture. Making the up forces equal to the down forces, you should get, F

_{app}sin(45)=Fg-F

_{fr}. Plugging in values into the known variables you should get, 75sin(45)=m(9.8)-(0.3)m(75sin(45). I factored out m and divided both sides by everything in the brackets to solve for m, obviously though I didn't get the answer.

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