Crate of mass m is pushed horizontally with force F up an inclined plane of θ from ground. The plane has a friction coefficient of μ.
a) draw free body diagram of crate
b) derive expression for normal force
c) derive expression for acceleration
*** Use ONLY m, g, F, μ, θ ****
ΣF = ma
|a| = √(ax2+ay2)
The Attempt at a Solution
Included is a picture of the problem with my free body diagram.
I set the normal as the y-axis so that when solving ΣFy=may I can set ay=0.
ay=0 so N = Fsinθ+mgcosθ (part b)
Since ay=0, a=√ax2 = ax. Substituting N into ax:
is this correct?