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