Dynamic balancing without static balancing

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Dynamic balancing requires the central principal axis of inertia to align with the axis of rotation, which cannot occur if the center of gravity is outside this axis. The discussion emphasizes that static balancing, where the center of gravity is aligned with the axis of rotation, is a prerequisite for achieving dynamic balance. Experiences with car tires illustrate that while dynamic balancing can mitigate issues like wobbling at certain speeds, static balancing alone may not suffice. Ultimately, the consensus is that dynamic balancing cannot exist independently of static balancing. Thus, both forms of balancing are interconnected in practical applications.
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static balancing is when the center of gravity is in the axis of rotation.

dynamic balancing is when the central principal axis of inertia is parallel and coincident with the axis of rotation.

my question is, even if its theoretically, can you have dynamic balancing without static balancing?

If you have the center of gravity outside the axis of rotation but still have the central principal axis of rotation on and parallel with the axis of rotation, do you not have dynamic without static balancing?
 
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From experience with car tires, it seems that dynamic balancing is always better. If you statically balance the tires then at some certain speeds you'll get a wobbly feeling due to hitting the resonant frequency.
 
jedishrfu said:
From experience with car tires, it seems that dynamic balancing is always better. If you statically balance the tires then at some certain speeds you'll get a wobbly feeling due to hitting the resonant frequency.

Thanks but still doesn't answer my question in a way.

Can you have dynamic without static
 
The principal axes of inertia pass through the center of mass, by definition.

So the answer to your original question is no, you can't have the principal axis along the axis of rotation but the center of mass somewhere else.
 
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