Consider a simple harmonic oscillator made of a mass sliding on a frictionless s
ID: 1789000 • Letter: C
Question
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? (If A and E are, and the others are not, enter TFFFT).
A) Tripling the amplitude will sextuple the frequency.
B) Doubling the mass will not change the period.
C) Doubling the spring constant will halve the period.
D) Quadrupling the mass will double the period.
E) Halving the amplitude will quadruple the period.
Explanation / Answer
Here ,
as the time period of the simple harmonic oscillator
T = 2pi * sqrt(m/k)
as the time is not dependent on the amplitude
changing the amplitude will not change the frequency
changing the mass and the spring constant changes the frequecy and time period
False A) Tripling the amplitude will sextuple the frequency.
False B) Doubling the mass will not change the period.
False C) Doubling the spring constant will halve the period.
True D) Quadrupling the mass will double the period.
False E) Halving the amplitude will quadruple the period.