Doubt in mass suspended by spring

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SUMMARY

The discussion centers on the application of Hooke's Law and Newton's Third Law in the context of a mass M suspended by a weightless spring. When a force is applied to the mass, it undergoes simple harmonic motion, and according to Hooke's Law (F = -kx), the applied force equals the restoring force for small displacements. Newton's Third Law is applicable, indicating that for every action, there is an equal and opposite reaction, which can be observed when the force is applied slowly to avoid kinetic energy generation in the block.

PREREQUISITES
  • Understanding of Hooke's Law (F = -kx)
  • Basic principles of Newton's Laws of Motion
  • Concept of simple harmonic motion
  • Knowledge of inertial frames of reference
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  • Study the mathematical derivation of simple harmonic motion equations
  • Explore applications of Hooke's Law in real-world scenarios
  • Investigate the implications of Newton's Third Law in different inertial frames
  • Learn about energy conservation in oscillatory systems
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Physics students, educators, and anyone interested in mechanics, particularly those studying oscillatory motion and the fundamental laws of physics.

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Consider a mass M, suspended by a weightless spring (horizontally or vertically). If I apply a force on the mass M, it executes simple harmonic motion. My question is for small displacement (that is pushed or pulled) according to Hooke's law F=-kx, it is equal to force we applied right?
F=Ma=-kx, Can i apply Newton's 3rd law here? if yes explain? (But According to Newton's third law, action and reaction happens in different bodies right?)
 
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manimaran1605 said:
Consider a mass M, suspended by a weightless spring (horizontally or vertically). If I apply a force on the mass M, it executes simple harmonic motion. My question is for small displacement (that is pushed or pulled) according to Hooke's law F=-kx, it is equal to force we applied right?
What is equal to the force?

F=Ma=-kx, Can i apply Newton's 3rd law here? if yes explain? (But According to Newton's third law, action and reaction happens in different bodies right?)
Newton's 3rd law is applicable in every inertial frame.
If you are speaking of the reaction acting on you after you apply the force on the block, then the force acting on you will be equal to that of kx provided you exert the force slowly, i.e, without generating a kinetic energy in the block.
 

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