A time varying force F=2t is applied on a spool as shown in the figure. The angular momentum of the spool at time t about the bottommost point is
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torque = dL/dt
∫dL = ∫(torque)dt
L = ∫2t(R+r)dt (about bottommost point)
L = t2(R+r)
∫dL = ∫(torque)dt
L = ∫2t(R+r)dt (about bottommost point)
L = t2(R+r)
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