Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Lami's theorem
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
In [[physics]], '''[[Bernard Lamy|Lami]]'s theorem''' is an equation relating the magnitudes of three [[coplanar]], [[Concurrent lines|concurrent]] and [[Coplanarity|non-collinear]] vectors, which keeps an object in [[Mechanical equilibrium|static equilibrium]], with the angles directly opposite to the corresponding vectors. According to the theorem, :<math>\frac{v_A}{\sin \alpha}=\frac{v_B}{\sin \beta}=\frac{v_C}{\sin \gamma}</math> where <math>v_A, v_B, v_C</math> are the magnitudes of the three coplanar, concurrent and non-collinear vectors, <math>\vec{v}_A, \vec{v}_B, \vec{v}_C</math>, which keep the object in static equilibrium, and <math>\alpha,\beta,\gamma</math> are the angles directly opposite to the vectors,<ref name=":0">{{Cite book|url=https://books.google.com/books?id=8Yf0AQAAQBAJ&q=lamis+theorem|title=Engineering Mechanics: Statics and Dynamics|last=Dubey|first=N. H.|date=2013|publisher=Tata McGraw-Hill Education|isbn=9780071072595|language=en}}</ref> thus satisfying <math>\alpha+\beta+\gamma=360^o</math>. Lami's theorem is applied in static analysis of mechanical and structural systems. The theorem is named after [[Bernard Lamy]].<ref>{{Cite web|url=http://www.oxfordreference.com/view/10.1093/oi/authority.20110803100049237|title=Lami's Theorem - Oxford Reference|access-date=2018-10-03}}</ref>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)