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d from the eq

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.47P: Two double stars, one having mass 1.0 Msun and the other 3.0 Msun, rotate about their common center...

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Question

At latitude 30◦N the distance from the surface of the earth to the axis of rotation,r, is smaller than it is at the equator, by 13% (cos(30◦)≈0.87). If we assume that the angular momentum of a mass m(L=mrv) is conserved as the mass is moved from the equator to latitude 30◦N, how fast is its velocity,v, relative to the ground at 30◦N?

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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