In the previous
explanation of torque, we split the force F into its tangential
and radial components with respect to r. Alternatively, we can split
the moment arm r into parallel and perpendicular components with
respect to F (refer to Figure 1). Then, the magnitude of torque
is the perpendicular distance, r, multiplied
by the magnitude of force, F. We can label the angle between F and
r as . Then, the perpendicular
distance would be
- r =
r sin()- = r
F
= r sin() F = r F sin() |
Figure 1 Diagram of the perpendicular component, r,
and parallel component, r, of the moment
arm r with force F acting on it. |

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