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.
Inclined plane equations
The Attempt at a Solution
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.
= Total vertical net force
= F(y) - F(py)
= mg(cos(theta)) - P(sin(theta))
= 1000cos20 - Psin20
= Total horizontal net force
= F(x) + F(py)
= mg(sin(theta)) - P(cos(theta))
= 1000sin20 - Pcos20
Am I doing it right above?
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.