Vector Analysis And Quaternions
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In our eReader you can find the full English version of the book. Read Vector Analysis And Quaternions Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Vector Analysis And Quaternions
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k 2m 2m 2m ' 2 (in a) 2(mb) 2mc therefore x=—^ — , y = — ^ — , z= — — 2m 2m 2m Example. — Given 5 pounds at 10 feet 45°//30° and 8 pounds at 7 feet 6o°//45° ! find the moment when both masses are transferred to 12 feet 75°//6o°.
m 1 A 1 = 5o(cos 30°?' -f- sin 30 cos 45°/+ sm 3°° sin 45°^)» m 2 A^ = 56(cos 45°?-f- sin 45 cos 6o°j-\- sin 45 sin 60° k), (m 1 -f- m^)R = i56(cos 6o°z -f- sin 6o° cos 75^' -f- sin 6o° sin 75°/£), moment = m l A 1 -j- m 2 A^ — (m 1 -j- w 2 )-^.
Composition of a Located... Vector Quantity. — Let F A de- note a force applied at the extremity of the radius-vector A.
As a force F — F may introduced at the ex- tremity of any radius-vector R, we have F A -(F-F) R + F A = F R + V(A - R)F This equation asserts that a force F applied at the extremity of A is equivalent to an equal force applied at the extremity of R together with a couple whose magnitude COMPOSITION OF QUANTITIES. 37 and direction are given by the vector product of the radius- vector from the extremity of R to the extremity of A and the force.
What to read after Vector Analysis And Quaternions?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Macfarlan to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
k 2m 2m 2m ' 2 (in a) 2(mb) 2mc therefore x=—^ — , y = — ^ — , z= — — 2m 2m 2m Example. — Given 5 pounds at 10 feet 45°//30° and 8 pounds at 7 feet 6o°//45° ! find the moment when both masses are transferred to 12 feet 75°//6o°.
m 1 A 1 = 5o(cos 30°?' -f- sin 30 cos 45°/+ sm 3°° sin 45°^)» m 2 A^ = 56(cos 45°?-f- sin 45 cos 6o°j-\- sin 45 sin 60° k), (m 1 -f- m^)R = i56(cos 6o°z -f- sin 6o° cos 75^' -f- sin 6o° sin 75°/£), moment = m l A 1 -j- m 2 A^ — (m 1 -j- w 2 )-^.
Composition of a Located... Vector Quantity. — Let F A de- note a force applied at the extremity of the radius-vector A.
As a force F — F may introduced at the ex- tremity of any radius-vector R, we have F A -(F-F) R + F A = F R + V(A - R)F This equation asserts that a force F applied at the extremity of A is equivalent to an equal force applied at the extremity of R together with a couple whose magnitude COMPOSITION OF QUANTITIES. 37 and direction are given by the vector product of the radius- vector from the extremity of R to the extremity of A and the force.
What to read after Vector Analysis And Quaternions?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Macfarlan to read onlineMoreLess
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