In this problem you will prove the equation of motion (9.34) for a rotating frame using the Lagrangian approach. As usual, the Lagrangian method is in many ways easier than the Newtonian (except that it calls for some slightly tricky vector gymnastics), but is perhaps less insightful. Let S be a noninertial frame rotating with constant angular velocity Ω relative to the inertial frame S_o. Let both frames have the same origin,O = O'. (a) Find the Lagrangian ℒ = T — U in terms of the coordinates r and r of S. [Remember that you must first evaluate T in the inertial frame. In this connection, recall that v_o= v + Ω x r.] (b) Show that the three Lagrange equations reproduce (9.34) precisely.

 

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Status NEW Posted 27 May 2017 01:05 PM My Price 9.00

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