Calculating Period and Frequency of a Mass-Spring System

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SUMMARY

The discussion centers on calculating the period and frequency of a mass-spring system with a spring constant of 180 N/m and a mass of 1.5 kg. The relevant equation for determining the period (T) is T = 2π√(m/k), which allows for the calculation of the system's oscillation characteristics. The frequency (f) can then be derived from the period using the formula f = 1/T. The participants emphasize the importance of understanding Hooke's Law and the relationship between mass and spring constant in these calculations.

PREREQUISITES
  • Understanding of Hooke's Law and its application in mass-spring systems
  • Familiarity with the formula for period T = 2π√(m/k)
  • Knowledge of frequency calculation from period (f = 1/T)
  • Basic concepts of oscillatory motion and mechanical vibrations
NEXT STEPS
  • Research the derivation of the mass-spring system equations
  • Learn about the effects of damping on oscillatory systems
  • Explore the relationship between energy conservation and oscillations in spring systems
  • Study advanced topics in harmonic motion and resonance phenomena
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to explain mass-spring systems and their properties.

tallbus1
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Homework Statement


A spring with a spring constant of 1.8 X 102 N/m is attached to a 1.5 kg mass and then set into motion.

a. What is the period of the mass-spring system?
b. What is the frequency of the vibration?

Homework Equations


The only one that comes to mind would be Hooke's Law
Fe = -kx

The Attempt at a Solution


The issue is that it gives a mass, but neither displacement, nor Felastic, which makes me wonder whether I'm using the wrong equation, or I'm not fully understanding the equation, as the only variable I have here that fits is -k (spring constant), unless of course Felastic can be related to Fg (MG) in some way.
 
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None of these equations exactly answer the problem, one of them doest mention when a mass is added to the end, but it requires you using Frequency, while I don't have the frequency...
After watching a lecture on that wikipedia page he explained the equation:

T= 2Pie sqroot(m/k)

This will solve my problem nicely, thank you!
 

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