Simple Harmonic Motion and Resonance

AI Thread Summary
The discussion focuses on a car's simple harmonic motion (SHM) as it travels over expansion gaps on a bridge, highlighting the effects of added mass on oscillation amplitude and suspension sag. Participants note that the car's suspension system allows it to perform SHM vertically, with the car bouncing due to the gaps. Key questions include determining the speed for maximum oscillation amplitude and the impact of additional passengers on suspension sag. The conversation emphasizes understanding the relationship between mass, wave speed, and oscillation behavior. Overall, the analysis revolves around the dynamics of SHM in the context of the car's movement.
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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