Forced Oscillations of Mass-Spring System: Reasons for Observed Behaviour

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SUMMARY

The discussion focuses on the behavior of a mass-spring system with a natural frequency of 1.5 Hz under forced oscillations at various frequencies. At 0.2 Hz, the system oscillates in phase with the driver, indicating low-frequency resonance. At the natural frequency of 1.5 Hz, a phase difference of π/2 radians occurs, demonstrating the system's maximum energy transfer. At 10 Hz, the oscillations exhibit a phase lag of nearly π, indicating that the system is out of phase with the driver, leading to minimal energy transfer. These observations highlight the principles of resonance and phase relationships in oscillatory systems.

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A mass spring system with natural frequency of 1.5Hz is set up as shown:

http://img300.imageshack.us/img300/7922/35809066dx2.th.jpg

Can someone please explain the reasons for the following observations:

When the support rod oscillates at a frequency of 0.2 Hz - oscillations are (almost) in phase with driver

When the support rod oscillates at a frequency of 1.5 Hz - oscillations have a phase difference is pi/2 radians with the driver.

When the support rod oscillates at a frequency of 10 Hz - oscillations are out of phase with driver [or phase lag of (almost) pi on driver]

Thanks
 
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Here's a good resource

http://www.walter-fendt.de/ph14e/resonance.htm

Check out the phase difference diagram
 

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