Block on piston undergoing simple harmonic motion

AI Thread Summary
The discussion focuses on a block on a piston undergoing simple harmonic motion (SHM) with a period of 1 second. The key question is determining the amplitude at which the block will separate from the piston. To find this, the maximum acceleration of the system in terms of amplitude is crucial, as well as the maximum downward acceleration the block can withstand before losing contact. The equations provided suggest a need to analyze the relationship between acceleration, amplitude, and the conditions for separation. Understanding these dynamics is essential to solving the problem effectively.
Quipzley
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A block rides on a piston that is moving vertically with simple harmonic motion. if the shm has period 1 s at what amplitude of maotion will the block and piston seperate?

T= 1 / f
1= 1 / f

x= x cos (wt+0)

x= x cos( 2 * pi * 1 + 0)

where can i go from here?
 
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the 0's represents thi. Please Help?
 
OK, answer me these questions and we'll work from there.

1. What is the maximum acceleration, in terms of the amplitude?
2. What is the maximum acceleration at which the block can move downwards? Keep in mind that the block is not attached to the piston.
 

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