Static Equilibrium of an automobile

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SUMMARY

The discussion focuses on calculating the forces acting on the wheels of a 1360 kg automobile with a wheelbase of 3.05 m and a center of gravity located 1.78 m behind the front axle. Participants emphasize the importance of applying static equilibrium principles, specifically the balance of forces and torques, to determine the ground reaction forces on each wheel. The correct approach involves using the equations for net force and torque, rather than the incorrect formula N = mgr. A free body diagram is essential for visualizing the forces involved.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of free body diagrams
  • Familiarity with torque calculations
  • Basic physics concepts related to forces and mass
NEXT STEPS
  • Study the principles of static equilibrium in physics
  • Learn how to create and interpret free body diagrams
  • Explore torque calculations in mechanical systems
  • Review the effects of center of gravity on vehicle dynamics
USEFUL FOR

Students in physics or engineering courses, automotive engineers, and anyone interested in understanding vehicle dynamics and static equilibrium analysis.

Seraph404
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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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