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## Homework Statement

A block with a mass of 100kg is being pulled with a force P in and effort to move it down the ramp. The ramp makes a 20 degree with the horizontal ground. The coefficient of the friction between the ramp and the block is 0.7.

Find the frictional force and the horizontal force.

Assume g=10m/s^2

## Homework Equations

Inclined plane equations

## The Attempt at a Solution

Let

F(y) = vertical force due to gravity.

F(py) = vertical force due to applied force.

F(x) = horizontal force due to gravity

F(px) = horizontal force due to applied force P.

F(yNet)

= Total vertical net force

= F(y) - F(py)

= mg(cos(theta)) - P(sin(theta))

= 1000cos20 - Psin20

F(xNet)

= Total horizontal net force

= F(x) + F(py)

= mg(sin(theta)) - P(cos(theta))

= 1000sin20 - Pcos20

Am I doing it right above?

Let

F(N) be the normal force.

My rationale is that since the horizontal force P lifts the mass upwards, it's force acting downwards will be reduced.

Am I right to say that,

F(N) = F(yNet)

Normal force = The net force acting vertically downware to the ramp.

Am I getting the concept right or wrong?

I am now stuck at this part because I have so many unknown. I still can't find P. Can someone correct my understanding? Thank you all.