Differential equation for unbalanced rotating force

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SUMMARY

The discussion centers on the differential equation M\ddot{y} + k_{eq}y = me\omega^2\sin(\omega t), specifically addressing the variable m. Participants clarify that m represents the mass of the motor causing the unbalance, while M denotes the total mass of the system, which includes both the mass of the cantilever beam (m_b) and a fraction of the motor's mass (m_m). The conversation emphasizes the importance of context in interpreting differential equations, as various physical systems can yield similar equations.

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Dustinsfl
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Homework Statement


##M\ddot{y} + k_{eq}y = me\omega^2\sin(\omega t)##

What is ##m##?

Homework Equations

The Attempt at a Solution


In the ODE above, ##M## is the total mass of the problem, correct? For instance, if we had a cantilever beam, ##M = m_b + m_m(0.23)## where ##m_b## is the mass of the beam and ##m_m## is the mass of the motor.

Is ##m## the mass of the motor causing the unbalance or is it the mass of the whole system as well?
 
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Is there no figure associated with this problem?

To just start with the ODE given, I think that the only truly correct answer is to say that
m is the 13th letter of the alphabet.

The problem is that there are many physical systems that give rise to a particular describing differential equation. To start with the ODE and ask what the parameters are is pure nonsense.
 

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