Simple Harmonic Motion and Resonance

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SUMMARY

The discussion focuses on the dynamics of a car's suspension system as it travels over expansion gaps, specifically analyzing simple harmonic motion (SHM) and resonance effects. The car, with a total mass of 1,300 kg (including the driver and two passengers), experiences maximum oscillation amplitude at a specific speed, which is determined by the relationship between mass and spring constant in SHM. The sagging of the suspension due to added weight is also a critical factor in understanding the oscillation behavior of the vehicle.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM) principles
  • Knowledge of mass-spring systems and their equations
  • Familiarity with oscillation amplitude and frequency concepts
  • Basic mechanics of vehicle suspension systems
NEXT STEPS
  • Research the equations governing simple harmonic motion in mass-spring systems
  • Learn about the effects of added mass on oscillation frequency and amplitude
  • Explore the relationship between wave speed, wavelength, and oscillation in mechanical systems
  • Investigate the principles of resonance and its implications in vehicle dynamics
USEFUL FOR

Physics students, automotive engineers, and anyone interested in the mechanics of vehicle suspension systems and oscillatory motion.

Gyoung68
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Homework Statement


A car with mass 1220kg including the driver travels over a bridge with expansion gaps spaced 5.5m apart. At a speed of 12.0m/s, the car bounces up and down with exceptionally large amplitude. Two more 80kg passengers now get in the car. a) What speed will result in maximum oscillation amplitude? b) How much did the car's suspension sag with the two added passengers? c) What kind of oscillation behavior results from the car's suspension


Homework Equations


Something dealing with wavelength, wave speed, and mass


The Attempt at a Solution


Not a clue
 
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The answer is in the title of your post. The car is suspended - on what?

http://www.carbibles.com/suspension_bible.html

So it performs SHM in vertical direction. It gets some bump whenever it drives through the expansion gaps. What is the time elapsed between these bumps? What happens when a vibrating body is pushed periodically?


ehild
 

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