SHM horizontal spring mass system

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SUMMARY

The discussion centers on the analysis of a simple harmonic motion (SHM) horizontal spring mass system, specifically addressing the speed of a mass at various positions and the net force acting on it. The speed at the equilibrium position (x=0) can be determined using the principle of conservation of energy. The net force at position x=A is confirmed to be F=-kA, where k is the spring constant. The user seeks clarification on calculating speed at x=A/4 after understanding the maximum speed at x=0.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Knowledge of conservation of energy principles
  • Familiarity with Hooke's Law and spring constants
  • Basic algebra for solving equations
NEXT STEPS
  • Study the conservation of mechanical energy in SHM systems
  • Learn how to derive the maximum speed in a spring mass system
  • Explore the implications of Hooke's Law in various spring configurations
  • Investigate the calculation of speed at different displacements in SHM
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to clarify concepts related to simple harmonic motion and spring systems.

bionerdette
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This problem states that a mass m is attatched to a spring with spring constant k and is pulled aside a distance A from its equilibrium position x=0.

a) what is the speed as it passes the position x=0?
I know that at A and -A v=0 and at x=0 v=max, but I can't remember how to get an equation for what that max is!

b)what is the net force on the mass at position x=A?
would this be F=-kA?

c)what is the speed when x=A/4?
i don't have any idea how to do this, but i think once i get part a i will understand

any help would be greatly appreciated!
 
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Hi bionerdette and welcome to PF,

For future reference, we have Homework forums for such questions, but don't worry you thread will be moved there soon. With regards to your question,
bionerdette said:
a) what is the speed as it passes the position x=0?
I know that at A and -A v=0 and at x=0 v=max, but I can't remember how to get an equation for what that max is!
I would consider conservation of energy.
bionerdette said:
b)what is the net force on the mass at position x=A?
would this be F=-kA?
Indeed it would :smile:
 

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