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naestibill
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Homework Statement
Considering the concepts of Rigid Body/Angular Momentum/Torque
A body rotating with respect to an axis that passes through ANY point P, whose acceleration could be different to zero.
Prove:
Ʃτ(ext, p) = dL(rel_p)/dt + ρ(cm) x Ma(p)
Ʃτ(ext, p) = dL(rel_cm)/dt + ρ(cm) x Ma(cm)
Homework Equations
T = dL/dt
L = Ʃ ρ x mv
The Attempt at a Solution
Considering a Rigid Body/Angular Momentum/Torque
We know that Torque(ext) = dL/dt
Now with respect to stationary point S:
L(s, cm) = Ʃ(ρi x mivi)
and that dL(cm)/dt = Ʃτ(ext, CM)
Now with respect to ANY point, P, that is accelerating:
L(s,p) = L(cm) + ρ(cm) x Mv(cm)
after this I don't know how to prove what they are asking me for