Question
When a particle of mass m moves on the x-axis in a potential form , it performs simple harmonic motion. The corresponding time period is proportional to , as can be seen easily using dimensional analysis. However, the motion of a particle can be preiodic even when its potential energy increases on both sides of x=0 in a way different from and its total energy is such taht the particle does not escape to infinity. consider a particle of mass m moving on the x -axis. its potential energy is for |x| near the origin and becomes a constant equal to for |x|
If the total energy of the particle is E, it will perform periodic motion only if
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Word of length 10 are formed using the letters A,B,C,D,E,F,G,H,I,J. Let be the number of such words where no letter is repeated; and let be the number of such words where exactly one letter is repeated twice and no other letter is repeated. The, Stuck on the question or explanation?
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Question Text | When a particle of mass m moves on the x-axis in a potential form , it performs simple harmonic motion. The corresponding time period is proportional to , as can be seen easily using dimensional analysis. However, the motion of a particle can be preiodic even when its potential energy increases on both sides of x=0 in a way different from and its total energy is such taht the particle does not escape to infinity. consider a particle of mass m moving on the x -axis. its potential energy is for |x| near the origin and becomes a constant equal to for |x| If the total energy of the particle is E, it will perform periodic motion only if |