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Debanjana adhikari Asked a Question
May 24, 2020 11:27 ampts 30 pts
The Lagrangian of a system moving in three dimensions is L=m m( si) + The independent constants of motion is/are (a) energy alone (b) only energy, one component of the linear momentum and one component of the angular momentumn (c) only energy, one component of the linear momentum (d) only energy, one component of the angular momentum
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  • Dhairya sharma
    when something is missing in Lagrangian like x or thitha then corresponding momentum is conserved and it's called cyclic coordinate
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  • Chandra dhawan
    see attached file
    • cropped-819558085.jpg
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  • Chandra dhawan thankyou
    for simple explanation of this type of prob ...see attached file dear....
    • cropped2087167656.jpg
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    Chandra dhawan
    I hope you got it my point dear
  • Ruby negi
    you know there is no need to do calculation in this question, see here is no cyclic coordinate so no linear momentum is conserved, and lagrangian is independent of time so only ene...
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  • Ruby negi
    here is the solution...
    • cropped1810054537.jpg
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    Ruby negi
    I did calculation only for explaination.. otherwise here is no need of calculation..
  • Abhishek singh
    Debanjana, Can I ask you a question?
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    Debanjana adhikari
    yes sir
  • Dhairya sharma
    if T means time is not present in Lagrangian then it's symmetric in time . and symmetry in time leads to conservation of energy.
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