Torque

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"i swear in many languages" - dr ormande waters

Translational equilibrium: $\Sigma F=0$

Rotational equilibrium: $\Sigma \tau =0$

Torque equation

$F_{\tau }=\text{F r }\sin \theta$

• F = applied force (N)
• $\tau$ = newtons meters $\text{ N m}$
• r = length of lever (m)
  • distance between point of orientation
  • forced axis of rotation
• $\theta$ = angle between F and r

For a given applied force, torque will be maximised by applying at the greatest distance from the axis of rotation

For a given distance from an axis of rotation, torque will be maximised by applying the largest force possible

For any given combination of F and r, torque will be maximised by having them at right angles

"i have an 1871 french bayonet, that'd be fun to bring, and a 1940 british bayonet. i have a bronze age spearhead" - dr ormande waters