Simple Harmonic Motion and Springs

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SUMMARY

The discussion focuses on calculating the mass of an object suspended from a vertical spring with a force constant of 1269 N/m, which oscillates at a frequency of 10 Hz. The correct mass is derived using the formula for the period of oscillation, T = 2π√(m/k), leading to a mass of approximately 0.321 kg. Participants also explore energy conservation principles, equating potential energy in the spring to gravitational potential energy. Miscalculations and misunderstandings regarding the application of formulas are addressed throughout the conversation.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with spring constants and Hooke's Law
  • Knowledge of energy conservation principles in mechanical systems
  • Ability to manipulate algebraic equations involving square roots and ratios
NEXT STEPS
  • Study the derivation of the period of oscillation for springs using T = 2π√(m/k)
  • Learn about energy conservation in oscillatory motion and its applications
  • Explore the relationship between frequency and period in SHM
  • Investigate the effects of varying spring constants on oscillation frequency
USEFUL FOR

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

  • #31
i don't I am confusing myself, i will try mechanical energy.
 
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  • #32
but wait, for mechanical energy equations wouldn't i need m, v, or k...so I am utterly confused, can i ask you a favor of working the problem out so i can see what you mean?
 
  • #33
MRMooneyham said:
but wait, for mechanical energy equations wouldn't i need m, v, or k...so I am utterly confused, can i ask you a favor of working the problem out so i can see what you mean?
Mechanical energy will involve m, v, and k. But that's good since that's what we're trying to find. (Remember that we want m/k so we can find the period.)

Set up an energy equation:
Energy(at top of motion) = Energy(at lowest point of motion).
 

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