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- Natural frequency oscillation when constrained: spring mass system on a table restraining amplitude

Hello,

Suppose we have a simple oscillating spring mass system. The natural frequency will excite the system to have infinite amplitude. Suppose then, that we have that system on a table so that amplitude is limited. I'm imagining the high school experiment with the spring mass system on the teacher's table. The teachers always stop before the mass hits the table.

What would the response look like if the table were higher and the oscillation amplitude of the mass was constrained to a certain distance? What if that constrained distance was the resting distance? That is to say, what if the mass naturally, barely rests on the table and there is a driving force at the natural frequency? Would the mass even begin moving?

Thank you (I need to buy a physics kit.)

Suppose we have a simple oscillating spring mass system. The natural frequency will excite the system to have infinite amplitude. Suppose then, that we have that system on a table so that amplitude is limited. I'm imagining the high school experiment with the spring mass system on the teacher's table. The teachers always stop before the mass hits the table.

What would the response look like if the table were higher and the oscillation amplitude of the mass was constrained to a certain distance? What if that constrained distance was the resting distance? That is to say, what if the mass naturally, barely rests on the table and there is a driving force at the natural frequency? Would the mass even begin moving?

Thank you (I need to buy a physics kit.)