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Damped Oscillation with a Driving Force (Help)

by treverd
Tags: damped, driving, force, oscillation
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treverd
#1
Apr22-08, 11:02 AM
P: 14
1. The problem statement, all variables and given/known data
A sinusoidally varying driving force is applied to a damped harmonic oscillator of force constant k and mass m. If the damping constant has a value b_1, the amplitude is A_1 when the driving angular frequency equals sqrt (k/m).

In terms of A_1, what is the amplitude for the same driving frequency and the same driving force amplitude F_{max}, if the damping constant is 3b?

In terms of A_1, what is the amplitude for the same driving frequency and the same driving force amplitude F_{max}, if the damping constant is (1/2)b?

2. Relevant equations
A= (Fmax/(sqrt(k-mw^2)^2+(b^2w^2))

w= omega


3. The attempt at a solution
I try to put in the the b values but it is saying it is incorrect.

1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
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treverd
#2
Apr22-08, 11:56 AM
P: 14
I got the answers they are

(1/3) A_1

and

2A_1
G01
#3
Apr22-08, 11:57 AM
HW Helper
G01's Avatar
P: 2,688
Where is your work? How can I know what you did wrong if you don't show me your work?

EDIT: I see you figured it out. Good Job!


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