# Tag Info

### Magnetic Entrapped Storage at 0 gravity

Flywheels are used in space, but not for storage of energy. They are used for attitude adjustment, as the spinning of a large mass has significant implications in an object which is free to move. ...
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Accepted

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### Why is the spin velocity of a gear irrelevant if perfectly balanced?

If the gear is not balanced then the center of mass will oscillate as it spins which will induce additional load on the shaft and create vibrations. This effect greatly depends on the speed of the ...
• 6,101
Accepted

### Why is the spin velocity of a gear irrelevant if perfectly balanced?

This depends greatly on the context. Here is a counter-example, a situation in which the spin velocity of the gear is relevant to the dynamics of the overall system, even if that velocity is constant....
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### Can a thing resonate whilst exposed to white noise?

The thing will vibrate at all frequencies. It will vibrate more (be amplified) at frequencies that are close to a natural frequency. Effectively, the system will act as a band pass filter (NOT a band ...
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### How to implement a Monte Carlo Simulation for studying uncertainty in dynamic stiffness?

My advice would be to forget about the mathematical theory and start thinking about what the engineering means. It's hard to think of any situation where the stiffness of a sensibly designed structure ...
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### hydraulic diameter

You have the correct answer, you just haven't simplified the terms. Root 3 divided by 3 is 1 over root 3. ie. x^(1/2) / x = x^(1/2).x(-1) = x^(-1/2)
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### Linearization of dynamic equations/transfer function in control theory

In addition to @arash’s answer: Designing directly with a nonlinear system is cumbersome, not only computationally expensive. By linearization one can cover the whole nonlinear space, by generating ...
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Mark has already pointed out what you are missing, and this is the Lagrangian approach which also should give the same result - and it does. The position of $m_1$ is $x_1 = R \ \theta(t)$ The ...