Unformatted text preview: θ = constant . Describe this motion. PROBLEM 3 (33 points) Assume a Lagrangian L = L ( { q i } , { ˙ q i } , t ) where q i , i = 1 , . . . , n are generalized coordinates, ˙ q i , i = 1 , . . . , n are generalized velocities and t is the time. 1. Write down the principle of least action. 2. Derive the EulerLagrange equations from the principle of least action. 3. Assume that the Lagrangian is invariant under translation q k → q k = q k + ± k of one or more generalized coordinates q k . Find the corresponding conserved quantities....
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This note was uploaded on 12/11/2011 for the course PHY 4936 taught by Professor Berg during the Fall '11 term at FSU.
 Fall '11
 berg
 mechanics

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