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Need Help Creating a Free Body Diagram of a Car on a Slope 
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#1
Jul211, 03:42 PM

P: 6

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 Ydirection 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! 


#2
Jul211, 04:23 PM

Sci Advisor
HW Helper
Thanks
P: 26,160

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 


#3
Jul211, 07:45 PM

P: 536

See HPWizard.com for more info (At the bottom of the page > Theory»»Longitudinal acceleration»»Accelerating»»Hill climbing) 


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