Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached...
Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true/false?
1. doubling the amplitude will halve the frequency
2. doubling the amplitude will not change the period.
3. doubling the mass will double the frequency.
4. quadrupling the spring constant will double the frequency.
5. tripling the spring constant will sextuple the period.
Homework Answers
Here,
as the time period = 2pi * sqrt(mass/spring constant)
for the frequency = 1/(2pi) * sqrt(spring constant/mass)
for the correct statements are
2. doubling the amplitude will not change the period.
4. quadrupling the spring constant will double the frequency.
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