- #1
zesi
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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.