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The line of action is shown as the vertical dotted line. It extends in both directions relative to the force vector, but is most useful where it defines the moment arm.
477:{\displaystyle {\begin{aligned}||{\vec {\tau }}||&=||{\vec {r}}\times {\vec {F}}||\\&=rF_{\perp }\\&=r_{\perp }F\\&=||rF\sin \theta ||\,,\end{aligned}}}
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body along the same line of action but in opposite directions, they cancel and have no net effect. But if, instead, their lines of action are not identical, but merely
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For the simple geometry associated with the figure, there are three equivalent equations for the magnitude of the torque associated with a force
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Mungan, Carl E. "Acceleration of a pulled spool." The
Physics Teacher 39.8 (2001): 481-485.
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through the point at which the force is applied, and is in the same
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from the axis whenever the force is perpendicular to the axis:
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The concept is essential, for instance, for understanding the
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189:. For example, if two forces of equal
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51:adding citations to reliable sources
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722:{\displaystyle {\vec {F}}}
693:{\displaystyle {\vec {r}}}
640:{\displaystyle r_{\perp }}
613:{\displaystyle {\hat {r}}}
584:{\displaystyle {\vec {F}}}
555:{\displaystyle F_{\perp }}
268:{\displaystyle {\vec {r}}}
239:{\displaystyle {\vec {F}}}
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103:December 2009
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45:Please help
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193:act upon a
843:Categories
732:References
649:moment arm
183:net effect
73:newspapers
714:→
685:→
659:θ
633:⊥
605:^
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548:⊥
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507:×
501:→
454:θ
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414:⊥
394:⊥
360:→
351:×
345:→
306:→
303:τ
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191:magnitude
164:direction
199:parallel
647:is the
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166:as the
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203:moment
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849:Force
794:This
195:rigid
147:force
94:JSTOR
80:books
800:stub
752:ISBN
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209:it.
187:body
66:news
448:sin
133:In
49:by
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