A double pendulum consists of two equal masses 'm' suspended by two strings of length L. What is the Lagrangian of this system for oscillations in a plane? Assume the angles 46. 0,,02 made by the two strings are small (you can cose =1- Note: = L= ml ef +05 +0,02 + 2 TA (d) L%= me e+여 +6,02- 明 3 4

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A double pendulum consists of two equal masses 'm' suspended bytwo strings of length
I. What is the Lagrangian of this system for oscillations in a plane? Assume the angles
46.
0,,02 made by the two strings are small (you can cose =1-
Note: =
(a)
(b) L = mt| of +0 +0,0, +-
(b) L= m² oj +o +0,0;-
(c) L = mt2 0f +03 -0,02- ao -ojo
TA
(d) L= mt| 0f +-0 +0,0, -
3
4
2.
Transcribed Image Text:A double pendulum consists of two equal masses 'm' suspended bytwo strings of length I. What is the Lagrangian of this system for oscillations in a plane? Assume the angles 46. 0,,02 made by the two strings are small (you can cose =1- Note: = (a) (b) L = mt| of +0 +0,0, +- (b) L= m² oj +o +0,0;- (c) L = mt2 0f +03 -0,02- ao -ojo TA (d) L= mt| 0f +-0 +0,0, - 3 4 2.
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