Unformatted text preview: a ji coeﬃcients. [15 pts] (c) Using cylindrical coordinates ( r,φ,z ), determine the Lagrangian function for this system. [20 pts] (d) Write down the Lagrangian equations of motion for this system, using the form which includes Lagrange multipliers. [20 pts] (e) Solve for λ in terms of r, ˙ r, ˙ φ . [20 pts] (f) Solve for ˙ r in terms of r , and ˙ φ . (Hint: what is R r ˙ r 2 dr ?) [20 pts] Page 1 of 1...
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 Spring '09
 SRI
 pts, 5 pts, Lagrangian mechanics, cylindrical coordinates, 15 pts, parabolic surface

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