1.

A cat is able to function its feet after a fall, taking the advantage of principle of conservation of angular momentum.1. Give the law of conservation of a angular momentum.2. Explain how cat is able to do so

Answer»

1. When there is no external torque, the total angular momentum of a body or a system of bodies are a constant.

τ = \(\frac{dL}{dt}\) (when τ = 0 , we get \(\frac{dL}{dt}\) = 0).

ie L = constant.

But L = Iω

∴ Iω = a constant.

2. When a cat falls, it stretches its body. So that the moment of inertia becomes large. As Iω = constant, the value of angular speed will be decreased due to the increased value of moment of inertia. So cat lands on its feet gently.



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