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Angular momentum. why moment of inertia increases of earth near sun. And how no torque is acting on earth in presence of suns gravitational force.

Angular momentum.why moment of inertia increases of earth near sun. And how no torque is acting on earth in presence of suns gravitational force.

Grade:12th pass

1 Answers

Rudra
14 Points
6 years ago
According to Keplers Law of areas of planetary motion- " The line joining the sun and a planet sweeps out equal areas in equal interval of time". dA/dt= constant.That is the areal velocity is costant .Now, L= MVR where M and R for a planet is fixed now when V becomes constant L too becomes constand and from the relation dL/dt = Troque.We get d(constant)/dt=0 Therefore torque=0.Moment of inertia of a planet is given by C/(M(R^2)) Where C is polar moment of inertia when it is closer to earth R decreases hence Moment of inertia increases.

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