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Newtons Second Law in Angular Form

المؤلف:  Professor John W. Norbury

المصدر:  ELEMENTARY MECHANICS & THERMODYNAMICS

الجزء والصفحة:  p 148

29-12-2016

2593

Newton's Second Law in Angular Form

We have previously defined torque (or angular force) as . Now Newton's Second Law is  where  is the momentum. We therefore expect an angular version of Newton's Second Law involving angular force or torque and angular momentum  Thus we expect

But we haven't said what is. We can figure it out. Consider the following quantity,

but giving

Thus the unknown must be