Static Equilibrium of an automobile

AI Thread Summary
The discussion focuses on calculating the forces acting on each wheel of a 1360 kg automobile based on its dimensions and center of gravity. Participants emphasize the importance of applying static equilibrium principles, specifically that net forces and net torques must equal zero. There is a correction regarding the use of the equation N = mgr, highlighting the need for proper units and a clear understanding of the forces involved. A suggestion is made to create a free body diagram to simplify the problem-solving process. The conversation underscores the necessity of visual aids in solving static equilibrium problems effectively.
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Homework Statement



An automobile with a mass of 1360 kg has 3.05 m between the front and rear axles. Its center of gravity is located 1.78 m behind the front axle. With the automobile on level ground, determine the magnitude of the force from the ground on a) each wheel (assuming equal forces on the front wheels) and b) each rear wheel (assuming equal forces on the rear wheels).


Homework Equations



Forces up = forces down
Forces to the right = forces to the left
Net torque clockwise = net torque counter-clockwise

In other words, net force = 0

The Attempt at a Solution



N = mgr
a) r being the distance from the front axel to the center of gravity
b) r being the distance from the center of gravity to the rear axel

Is this correct?
I sort of drew a picture, but I'm not able to scan it at the moment.
 
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N=mgr is incorrect. Write out the units for that equation and see what you get. What units do you need?

I suggest you draw your free body diagram in Microsoft paint or something so that you can post it. This type of problem becomes extremely simple with the correct free body diagram.
 
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