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28 year-old Painting Investments Worker Truman from Regina, usually spends time with pastimes for instance interior design, property developers in new launch ec Singapore and writing. Last month just traveled to City of the Renaissance. The Varignon Theorem is a theorem by French mathematician Pierre Varignon (1654-1722), published in 1687 in his book Projet d' unè nouvelle mèchanique. The theorem states that the moment of a resultant of two concurrent force about any point is equal to the algebraic sum of the moments of its components about the same point.

Proof

For a set n of vectors ${\mathit{u}}_{\mathit{1}},{\mathit{u}}_{\mathit{2}},...,{\mathit{u}}_{\mathit{n}}$ that concurs at point O in space. The resultant is:

$\mathit{R}=\sum _i{\mathit{u}}_{\mathit{i}}$

The moment of each vector is:

$\sum _i{M}_{{\mathit{O}}_{\mathit{1}}}^{{\mathit{u}}_{\mathit{i}}}=\sum (\mathit{O}-{\mathit{O}}_{\mathit{1}})\times {\mathit{u}}_{\mathit{i}}$

In terms of summary, taking out the common factor $(\mathbf{O}-{\mathbf{O}}_{\mathbf{1}})$, and considering the expression of R, results:

$\sum _i{M}_{{\mathit{O}}_{\mathit{1}}}^{{\mathit{u}}_{\mathit{i}}}=(\mathit{O}-{\mathit{O}}_{\mathit{1}})\times \left(\sum _i{\mathit{u}}_{\mathit{i}}\right)=(\mathit{O}-{\mathit{O}}_{\mathit{1}})\times \mathit{R}=M_{{\mathit{O}}_{\mathit{i}}}^{\mathit{R}}$

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

External links

• Varirgnon's Theorem at TheFreeDictionary.com
• Proof. Mechanics of Solids. S.S. Bhavikatti. (page 19)

Lille has been very environment friendly in each facet of their work. Initially, she did very detailed calculations in regards to the shopping for and promoting course of. She obviously knows her work very nicely as she also highlighted and smoothed out a whole lot of issues that I'm not even aware of as a seller.

Rent 10. Subject to the provisions of this Agreement, the rent for the Property is $seven hundred.00 monthly (the 'Rent'). Together with all utilities (Electrical energy, gasoline, water, council tax, and waste disposal). The Tenant can pay the Lease on or before the first of each month of the term of this Agreement to the Landlord 635 W. forty second avenue Manhattan,New York 10036 or at such other place as the Landlord may later designate. eleven. The Landlord might enhance the Rent for the Property upon offering to the Tenant the greater of 21 days discover and any discover required by the Act.

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