Select all true statements about a damped harmonic oscillator model: a) We assum

Question

Select all true statements about a damped harmonic oscillator model:

a) We assume the damping force is proportional to the velocity, and in the same direction.

b) We assume the spring force is proportional to the position, and in the same direction.

c) When y=2, the spring is compressed.

d) When y=0, the spring force is zero.

e) The model can be a single first order differential equation, or a system of two second order differential equations.

f) The model can be written in the form k((d^2y)/(dt^2))+m((dy)/(dt))+by=0, b>0, k>0

g) Friction is not factored into the damped harmonic oscillator model.

h) A butter knife is a convenient tool for stopping a damped harmonic oscillator.

Explanation / Answer

D,E,F,G,H

A) dampening is in the opposite direction of velocity
B) Spring force is in the opposite direction of postition.
C) the amplitude varies.
D) True
E) it is a 2nd order diff EQ or a system of 1st order diff EQ.
F) True
G) friction is the dampening factor
H) True

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