Simple Harmonic Motion and frequency of vibration

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SUMMARY

The discussion focuses on calculating the frequency of vibration for a car's suspension system when subjected to a load. A 63 kg person and a 1040 kg car compress the springs by 3.3 cm. The frequency of vibration can be determined using the formula for Simple Harmonic Motion (SHM), specifically the equation f = (1/2π)√(k/m), where k is the spring constant and m is the total mass. The participants emphasize the importance of understanding SHM principles to solve the problem effectively.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of spring constants and mass calculations
  • Familiarity with Free Body Diagrams (FBD)
  • Basic physics principles related to force and motion
NEXT STEPS
  • Study the derivation of the frequency formula for Simple Harmonic Motion
  • Learn how to calculate spring constants using Hooke's Law
  • Explore the impact of mass on the frequency of oscillation
  • Review examples of Free Body Diagrams in mechanical systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of oscillating systems and vehicle suspension mechanics.

metalmagik
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When a 63 kg person climbs into a 1040 kg car, the car's springs compress vertically by 3.3 cm. What will be the frequency of vibration when the car hits a bump? Ignore damping.

Here is the FBD I have drawn:

http://img276.imageshack.us/img276/6189/fbdcc2.png

Im not even sure if this is really right...

I really just don't know where to begin with this. I added the masses together...and I know I have an x value of 3.3 cm. I don't know how to conceptualize this so that the FBD makes sense...any tips or hints are appreciated
 
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Are you familiar with the Simple Harmonic Motion of a mass on a spring? If not, that's what you should study before tackling this problem. Here's a start: http://hyperphysics.phy-astr.gsu.edu/hbase/shm.html"
 
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