Torque:

$\overline{){\mathbf{\tau}}{\mathbf{=}}{\mathbf{r}}{\mathbf{\xb7}}{\mathbf{F}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta}}}$

When r and F are perpendicular, θ = 90°. Whe r and F are parallel, θ = 0°.

τ_{1} = r•Fsinθ = (L/4)(2F)(sin 90) = (LF)/2

τ_{2} = r•Fsinθ = (L/2)(F)(sinθ_{2}) = (LFsinθ_{2})/2 or (LF/2)sinθ_{2}

Six forces, each of magnitude either *F *or *2F*, are applied to a door as seen from above in Figure 6. Rank in order, from smallest to largest, the six torques τ_{1} to τ_{6} about the hinge.

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