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

AI Thread Summary
The discussion focuses on the behavior of a mass-spring system when subjected to different driving frequencies. At 0.2 Hz, the system oscillates almost in phase with the driver, indicating low energy transfer. At the natural frequency of 1.5 Hz, there is a phase difference of π/2 radians, suggesting resonance where the system absorbs maximum energy. At 10 Hz, the oscillations are out of phase, indicating a phase lag close to π, which results in reduced energy transfer. Understanding these phase relationships is crucial for analyzing forced oscillations in mechanical 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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