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How to find radius vector of force by given force and moment

M=r x F

how to find vector r if F and M are defined

Thanks in advance

1-Visitor

Thank you all, this picture illustrate your answers in 2D

Sorry for this stupid question

25-Diamond I

There is no single, unique solution.

Normally you will have one degree of freedom and the solution may depend on one parameter.

The expression below may be simplified if we could assume that the scalar product of M and F is zero.

Unfortunately Mathcad won't let me add that assumption.

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1-Visitor

There is a unique solution - it is a center of gravity point, for example.

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25-Diamond I

@ifomenko wrote:

There is a unique solution - it is a center of gravity point, for example.

I guess not, if all you have is moment and force vector.

Can you provide an example.

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