Calculating Amplitude of Mass on Spring on Frictionless Surface

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SUMMARY

The discussion focuses on calculating the amplitude of a mass attached to a spring on a horizontal frictionless surface. Given the initial position (x) and initial velocity (not equal to zero), along with the spring constant and mass, the amplitude can be determined using the principle of conservation of energy. This method effectively relates the kinetic and potential energy in the system to find the maximum displacement of the mass from its equilibrium position.

PREREQUISITES
  • Understanding of Hooke's Law and spring constant
  • Knowledge of kinetic and potential energy concepts
  • Familiarity with conservation of energy principles
  • Basic mechanics of oscillatory motion
NEXT STEPS
  • Study the application of Hooke's Law in oscillatory systems
  • Learn about energy conservation in mechanical systems
  • Explore the equations of motion for simple harmonic motion
  • Investigate the effects of varying spring constants on amplitude
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding oscillatory motion and energy conservation in spring-mass systems.

tdash
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mass attached to spring on horizontal frictionless surface. given: position x at time zero, velocity at time zero (not equal to zero), spring constant, and mass. how do I figure out the amplitude?
 
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welcome to pf!

hi tdash! welcome to pf! :smile:
tdash said:
how do I figure out the amplitude?

try conservation of energy :wink:
 

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