- #1

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And furthermore, if above system is in a uniform speed rotating frame, then what can be the effect on this system?

Thank you very much.

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- #1

- 2

- 0

And furthermore, if above system is in a uniform speed rotating frame, then what can be the effect on this system?

Thank you very much.

- #2

Staff Emeritus

Science Advisor

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Does gravity g apply to y-direction?

What force must be considered in a rotating body?

- #3

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m*(d

No effect of gravity is considered here.

The whole frame is rotating at an uniform angular velocity.

If you can provide equation for static (i-e. not rotating) case, that's also fine.

- #4

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Here are the motion equations;

mx'' + c1x' + k1x' = 0 (Not forced)

my'' + c2y' + k2y' = 0 (Not forced)

Suppose the frame is rotated thru angle q,

In this case, the mass center position with respect to the frame F is

Xnew = x*cos(q) - y*sin(q)

Ynew = y*cos(q) + x*sin(q)

You can simply differentiate Xnew and Ynew. Once and twice, then replace in motion equations

Xnew' = cos(q)*(x'-yq*') - sin(q)*(y'+xq*')

Xnew'' = x''*cos(q) - 2*x'*q'*sin(q) - x*q''*sin(q) - x*q'*q'*cos(q)

-y''*sin(q) - 2*y'*q'*cos(q) - y*q''*cos(q) + y*q'*q'*sin(q)

Note that q''=0. Eliminate some of the terms above and do the same thing for y-axis

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