A particle of mass m moves along a curve given in the table below At any...
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A particle of mass m moves along a curve given in the table below At any time t, discuss the following points of the system in detail. a) An appropriate figure. b) Are there any constraints in the system? If yes mention it. c) Degree of freedom. d) Position vector. e) Velocity. f) Acceleration g) Kinetic energy h) Potential energy i) Generalized coordinates j) Lagrangian k) E. Lagrange's equations of motion 1) Conservation of total energy of the system. RECTANGULAR CYLINDRICAL SPHERICAL CONE z = √x² + y² z=r = π/4 CYLINDER x² + y² = 1 r = 1 p = csc o SPHERE x² + y² +2²2² = 1 z²=1-2²2² p = 1 A particle of mass m moves along a curve given in the table below At any time t, discuss the following points of the system in detail. a) An appropriate figure. b) Are there any constraints in the system? If yes mention it. c) Degree of freedom. d) Position vector. e) Velocity. f) Acceleration g) Kinetic energy h) Potential energy i) Generalized coordinates j) Lagrangian k) E. Lagrange's equations of motion 1) Conservation of total energy of the system. RECTANGULAR CYLINDRICAL SPHERICAL CONE z = √x² + y² z=r = π/4 CYLINDER x² + y² = 1 r = 1 p = csc o SPHERE x² + y² +2²2² = 1 z²=1-2²2² p = 1
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lets discuss the system in detail a Appropriate figure A figure showing the curve along which the particle of mass m moves would be helpful to visualize the system This could be a 2D or 3D plot of the ... View the full answer
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