Spring force and the period of it's ocilation

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SUMMARY

The discussion centers on calculating the oscillation period of a mass attached to a vertical spring, where the maximum displacement is 5.8 cm. The relevant equations include T = 2π√(m/k) for the period and k = mg/d for spring constant determination. Participants emphasize the importance of understanding the relationship between force, distance, and spring constant to solve for k. The solution involves using the equilibrium position and the mass's weight to derive the necessary parameters for calculating the period of oscillation.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Familiarity with simple harmonic motion principles
  • Basic knowledge of trigonometric functions
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Learn how to derive the spring constant (k) using k = mg/d
  • Study the principles of simple harmonic motion in greater detail
  • Explore the effects of mass on the oscillation period
  • Investigate the role of damping in oscillatory systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of oscillatory systems will benefit from this discussion.

Robertoalva
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1.A mass is attached to a vertical spring, which then goes into oscillation.
At the high point of the oscillation, the spring is in the
original unstretched equilibrium position it had before the mass
was attached; the low point is 5.8 cm below this. Find the oscillation
period.




Homework Equations


sin(α+ or -β)
sqrt(k/m)= ω


The Attempt at a Solution


having the half of 5.8cm
2.9cm k = mg
 
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Think about this

T = 2(pi)sqrt(m/k)

How do you find k?

(force) (distance) = k and force in this case is mg

These are enough clues.
 

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