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Homework Statement
A bicycle tire with radius R is attempting to go over a curb of height h. If a force F is applied to the center of the wheel, at an angle θ above the horizontal, what angle results in a force with the smallest magnitude to raise the wheel over the curb?
Homework Equations
ƩT=0
ƩF=0 (?)
The Attempt at a Solution
Having done this problem for a solely horizontal force, I tried to copy the same idea, but separated F into x and y components (giving Fcosθ and Fsinθ). The distance to Fg and Fy was √(2Rh-h^2), and the distance to Fx is R-h. After doing this, Fg is + and the other two are negative. The net torque equation I get it
0=mg*√(2Rh-h^2)-Fy*√(2Rh-h^2)-Fx*(R-h)
I don't know where to go from here (or if this is correct).