|Jul2-11, 03:42 PM||#1|
Need Help Creating a Free Body Diagram of a Car on a Slope
Hello. I have attached an image of a free body diagram of a car traveling up a ramp at 30 degrees. I was wondering if anyone can help me determine the sumation of forces in the X and Y direction.
I understand that the forces in the Y-direction must be equal to zero or else the car will not stay on the ground. This is the formula I have come up with for this problem:
u = coeff. of friction
FN = mg / cos30
Fu = u x FN
F = force the car is moving under its own power
Sum of Forces in Y direction: FN x cos30 - mg = 0
Is this the correct equation for finding the forces in the Y direction?
Sum of Forces in X direction: F - Fu - (mg x sin30) = ma
Is this the correct equation for finding the forces in the X direction?
Any help would be appreciated. Thank you!
|Jul2-11, 04:23 PM||#2|
hello mjgarrin! welcome to pf!
(have a mu: µ and a theta: θ and a degree: ° )
first, your free body diagram is wrong, the mgcosθ is not a separate force and should not be there
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