Forced Oscillations Homework: Determine Period & Amplitude

AI Thread Summary
To solve the homework problem involving a 2.00 kg object attached to a spring driven by an external force, the period can be calculated using the formula T = 2π√(m/k), yielding a result of approximately 1.99 seconds. The amplitude requires the correct application of the formula A = (Fo/m)/√((ω^2 - ω₀^2)), where Fo is the driving force and ω is the driving frequency. It's noted that there are two relevant frequencies: the natural frequency and the driving frequency, which may affect the calculations. If the period is incorrect, it may be necessary to reassess the relevant frequencies involved. Accurate calculations are essential for determining both the period and amplitude of the motion.
Husker70
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Homework Statement


A 2.00 kg object attached to a spring moves without friction and is driven
by an external force F=(3.00N) sin(2pie t). Assuming that the force
constant of the spring is 20.0 N/m determine (a) the period and
(b) the amplitude of the motion.


Homework Equations


T = 2pi sqrrt(m/k)
A = (Fo/m)/sqrrt (w^2 - wsubO)^2

The Attempt at a Solution


T = 1.99s
A = ?

I don't think that either equation is right. The answers are in
the book but these aren't working.
Thanks,
Kevin
 
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There are 2 periods, or frequencies, of relevance here: the natural frequency, and the driving-force frequency.

If your calculated period is wrong, perhaps you need to think about the other period that is relevant.
 
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