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## Homework Statement

A block with mass m1 = 9.4 kg is on an incline with an angle θ = 31.0° with respect to the horizontal. There is also a massless rope that pulls horizontally to prevent the block from moving. What is the tension in the rope?

## Homework Equations

Fg = m*g

Fg,x = m*g*sin 31 = Tx (?)

Fg,y = m*g*cos 31 = Fn

Ff = u*Fg,y

## The Attempt at a Solution

Fg = 9.4kg*9.8m/s^2 = 92.12N

Fg,x = Tx(?) = 92.12N * cos 31 = 84.156N

Fg,y = Fn = 92.12N * sin 31 = 37.469N

Ff = u * Fn

I had a value for the coefficient of static friction, but that was for a system with a spring (.292), so I don't think that'll work here. I also have one for kinetic friction (.212), but that might not apply here. I'm a little unsure in finding the tension in the x-direction, since I'm pretty sure if I can find that, I can find the overall tension using Tx/cos31. But after that, I'm stuck.