Consider a double pendulum consists of two-point masses m which are connected by strings of length / as shown in the figure below. Determine canonical momenta associated with the coordinates e and e,. Answer Choices: P, = 2ml è + mf ė̟ cos (@ – e.) a. P. = ml0, +ml*ė¸ cos(6, – 6,) P. - 2ml ė, + ml°è̟ cos (A – e.) b. P. = mfè, + ml° è, cos(6, – 0,) P. = ml è, + m² è̟ cos (A – e.) P. = ml'è, + ml*è¸ cos(6 – e, ) P. = mf è +ml*è̟ cos (@ - 8.) с. d. P. - 2ml*ė, +ml*è¸ cos( & – 6, )

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Consider a double pendulum consists of two-point masses m which are connected by
strings of length / as shown in the figure below. Determine canonical momenta associated
with the coordinates a and 0,.
Answer Choices:
P, = 2ml'è +mfè̟cos(e - e,)
Pa = mFè, +ml*0, cos(e, -e,)
P, = 2ml'ė, + mi è cos(e -6.)
a.
b.
Pa = mFe, + ml*è, cos(e, -e,)
Pa = ml'è, + mt è̟ cos(e - e.)
C.
P = ml'6, + ml*6 cos (e -e,)
Pa = mfà +ml è̟ cos(4 - e.)
d.
P. = 2ml*0, + mľ²0, cos( e - e,)
Transcribed Image Text:Consider a double pendulum consists of two-point masses m which are connected by strings of length / as shown in the figure below. Determine canonical momenta associated with the coordinates a and 0,. Answer Choices: P, = 2ml'è +mfè̟cos(e - e,) Pa = mFè, +ml*0, cos(e, -e,) P, = 2ml'ė, + mi è cos(e -6.) a. b. Pa = mFe, + ml*è, cos(e, -e,) Pa = ml'è, + mt è̟ cos(e - e.) C. P = ml'6, + ml*6 cos (e -e,) Pa = mfà +ml è̟ cos(4 - e.) d. P. = 2ml*0, + mľ²0, cos( e - e,)
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