Euler's laws Information & Euler's laws Links at HealthHaven.com

Euler's laws, formulated by Leonhard Euler about 50 years after Isaac Newton formulated his laws about the motion of particles, extends them to rigid body motion.^[1]

[edit] Euler's first law

Euler's first law states that the linear momentum of a body is equal to the product of the mass of the body and the velocity of its center of mass: $\mathbf L \mathrm = m \mathbf v_c$ .^[1]^[2]^[3] Internal forces, between the particles that make up a body, do not contribute to changing the total momentum of the body.^[4] The law is also stated as $\mathbf F \mathrm = m \mathbf a_G$ .^[4]

[edit] Euler's second law

Euler's second law states that the sum of the external moments about a point is equal to the rate of change of angular momentum about that point: $\mathbf M_{\text{net}} = {\mathrm{d}(\mathbf H) \over \mathrm{d}t}$ ^[1]^[2]^[3]

[edit] References

^ ^a ^b ^c McGill and King (1995). Engineering Mechanics, An Introduction to Dynamics (3rd ed.). PWS Publishing Company. ISBN 0-534-93399-8.
^ ^a ^b "Euler's Laws of Motion". http://www.bookrags.com/research/eulers-laws-of-motion-wom/. Retrieved 2009-03-30.
^ ^a ^b Rao, Anil Vithala (2006). Dynamics of particles and rigid bodies. Cambridge University Press. p. 355. ISBN 978-0-521-85811-3. http://books.google.com/books?id=2y9e6BjxZf4C&pg=PA355&lpg=PA355&dq=euler's+laws&source=bl&ots=m6QT6suceg&sig=w1Po2UJQ5_SxH7LvBg2SU5_aDOc&hl=en&ei=r9zYScLjNJDMMsXPxPEO&sa=X&oi=book_result&ct=result&resnum=7.
^ ^a ^b Gray, Gary L.; Costanzo, Plesha (2010). Enineering Mechanics: Dynamics. McGraw-Hill. ISBN 978-0-07-282871-9.

[McGillKing-0] McGill and King (1995). Engineering Mechanics, An Introduction to Dynamics (3rd ed.). PWS Publishing Company. ISBN 0-534-93399-8.

[BookRags-1] "Euler's Laws of Motion". http://www.bookrags.com/research/eulers-laws-of-motion-wom/. Retrieved 2009-03-30.

[Rao-2] Rao, Anil Vithala (2006). Dynamics of particles and rigid bodies. Cambridge University Press. p. 355. ISBN 978-0-521-85811-3. http://books.google.com/books?id=2y9e6BjxZf4C&pg=PA355&lpg=PA355&dq=euler's+laws&source=bl&ots=m6QT6suceg&sig=w1Po2UJQ5_SxH7LvBg2SU5_aDOc&hl=en&ei=r9zYScLjNJDMMsXPxPEO&sa=X&oi=book_result&ct=result&resnum=7.

[Gray-3] Gray, Gary L.; Costanzo, Plesha (2010). Enineering Mechanics: Dynamics. McGraw-Hill. ISBN 978-0-07-282871-9.

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Contents

[edit] Euler's first law

[edit] Euler's second law

[edit] See also

[edit] References