Simple Harmonic Motion: Unknown Spring Constant

AI Thread Summary
The discussion revolves around calculating the effects of changing mass and spring constant on the period of a block-spring system undergoing simple harmonic motion. The original period is 2.0 seconds, and participants explore how the period changes when the mass is doubled or halved, and when the spring constant is doubled. The key equations provided relate frequency and period to mass and spring constant, but some participants struggle with the calculations. Substituting variables for unknowns, such as using m0 for the original mass, helps clarify the relationships. Ultimately, understanding these substitutions is crucial for solving the problem effectively.
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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!
 
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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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