SHM: Block and Piston Separation and Continuous Contact

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SUMMARY

The discussion focuses on the dynamics of a block and piston system undergoing simple harmonic motion (SHM) with a period of 4.9 seconds. The block will separate from the piston when the amplitude exceeds a critical value, which can be calculated using the formula g = (omega)^2(x). Additionally, for continuous contact between the block and piston, the maximum frequency is determined by the piston’s amplitude of 4.0 cm. The participant successfully solved the problem using the established formula.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Familiarity with the concepts of amplitude and frequency
  • Knowledge of angular frequency (omega)
  • Basic physics principles related to motion and forces
NEXT STEPS
  • Calculate the critical amplitude for block and piston separation in SHM
  • Explore the relationship between frequency and amplitude in SHM
  • Study the effects of varying the period on the motion of SHM systems
  • Learn about the applications of SHM in mechanical systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the principles of simple harmonic motion and its applications in dynamic systems.

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A block rides on a piston that is moving verticallly with simple harmonic motion. A) If the SHM has a period of 4.9 seconds, at what amplitude of motion will the block and piston separate? B) If the piston has an amplitude of 4.0 cm, what is the maximum frequency for which the block and piston will be in contact continuously?
 
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What have you done in order to solve this problem?
 
got it!

i actually figured it out already using g=(omega)^2(x) thanks for your help though
 

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