1. Consider the system with T = ² m(r² + r²ġ² + ż²) and U = A. B. C. D. mgz where z = cr²,8 = wt, by using the Lagrangian method we can find the equation of motion *(1 + 4c²r²) + ² (4c²r) + r(2gc-w²) = 0 *(1-4c²r²) +r² (4c²r) +r(2gc+w² ) = 0 *(1 + 4c²r²) + r² (4c²r) + r(2gc + w²) = 0 *(1 +4c²r²)-²2 (4c²r) +r(2gc-w²) = 0
1. Consider the system with T = ² m(r² + r²ġ² + ż²) and U = A. B. C. D. mgz where z = cr²,8 = wt, by using the Lagrangian method we can find the equation of motion *(1 + 4c²r²) + ² (4c²r) + r(2gc-w²) = 0 *(1-4c²r²) +r² (4c²r) +r(2gc+w² ) = 0 *(1 + 4c²r²) + r² (4c²r) + r(2gc + w²) = 0 *(1 +4c²r²)-²2 (4c²r) +r(2gc-w²) = 0
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