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Question

Why the angular momentum of the body cannot be zero if the net external force is not equal to zero?

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Solution

We know that, τ = dL/dt, where τ=torque acting on the particle,and dL/dt is the rate of change of angular momentum. In case τ is not =to zero then dL/dt is also not = to zero, so, L is not constant, it means if in the absence of torque, L was zero then now L will not remain zero and if L had some value , now not necessarily that is maintained.Therefore if τ is not zero then angular momentum is not constant.

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