56. The Lagranpian o fa partiele of mass m moving in two dimension L=m(x² + y²)-÷(x² + y²). Ir the particle has a finite angular momentum about the origin, then we may conclude that it executes (a) Oscillatory motion about the origin r = 0 (b) Periodic motion with a constant value of r (c) Oscillatorymotion along the x-axis (d)Oscillatory motion along the y-axis
56. The Lagranpian o fa partiele of mass m moving in two dimension L=m(x² + y²)-÷(x² + y²). Ir the particle has a finite angular momentum about the origin, then we may conclude that it executes (a) Oscillatory motion about the origin r = 0 (b) Periodic motion with a constant value of r (c) Oscillatorymotion along the x-axis (d)Oscillatory motion along the y-axis
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Transcribed Image Text:56.
The Lagranpian ofa partiele of mass m moving in two dimension
L=-m(x* + y² )-(r² + y?). If the particle has afinite angular momentum about
the origin, then we may conclude that it executes
(a) Oscillatory motion about the origin r = 0
(b) Periodic motion witha constant value of r
(c) Oscillatory motion along the x-axis
(d) Oscillatory motion along the y-axis
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