Simple Harmonic Motion: Unknown Spring Constant

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SUMMARY

The discussion focuses on calculating the period of a block attached to a spring with an unknown spring constant, oscillating with a period of 2.0 seconds. The forum participants analyze how changes in mass and spring constant affect the period using the formula f = 1/2π√(k/m) and f = 1/T. Specifically, they explore scenarios where the mass is doubled, halved, and the spring constant is altered. The calculations reveal that increasing mass results in a longer period, while changes to the spring constant directly influence the oscillation frequency.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with the formula f = 1/2π√(k/m)
  • Basic algebra skills for manipulating equations
  • Knowledge of oscillation concepts, including period and frequency
NEXT STEPS
  • Calculate the period of oscillation for varying masses using the formula f = 1/2π√(k/m)
  • Explore the effects of changing the spring constant on oscillation frequency
  • Investigate the relationship between amplitude and energy in Simple Harmonic Motion
  • Learn about damping effects in oscillatory systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to explain concepts of Simple Harmonic Motion and spring dynamics.

JJackson09
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Homework Statement


A block attached to a spring with unknown spring constant oscillates with a period of 2.0 seconds. What is the period if a) the mass is doubled? b) the mass is halved? c) the amplitude is doubled? d) the spring constant is doubled?


Homework Equations


f=1/2pi(square root k/m)
f=1/T


The Attempt at a Solution


I understand when the period should increase and decrease but I am finding it hard to do the calculations. I cannot think of how to find the spring constant or the mass in order to fill in the missing parts of the equation.
Please Help!
 
Physics news on Phys.org
Try using letters like m0, T0, and x0 for the unknowns.
Now when mass is doubled, you write
m = 2*m0
and substitue to the equations.
 

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