A particle of mass m moving in 1D subjected to V(x) = α ₂² (kx) where k>o (). Draw d and a is non-zeso real constant- qualitative plot of potential function. stable equlibrium positions? where are ).write longrengian and Euler-longrenge equation. (1) Compute faequency of small orcilations about stable equlibrium position (S)? iv). Explain in words Hamiltonian H of system is obtained from Longrongion, and write its expression? Vd. write homiltonion equations of system?

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Date:.
A particle of mass m moving in 10 is
subjected to
V(x) = α ₂² (kx)
where k>o
(). Draw
d
where are
i).write longrongion and Euler-longrenge equation.
(1) Compute frequency of small orcilations about
stable equlibrium position (S)?
and a is
non-zeso seal constant-
qualitative plot of potential function:
stable equlibrium positions?
iv). Explain in
system is
words Hamiltonian H of
obtained from Longrongion, and
write its expression?
vd. write homiltonian equations of system?
Transcribed Image Text:Date:. A particle of mass m moving in 10 is subjected to V(x) = α ₂² (kx) where k>o (). Draw d where are i).write longrongion and Euler-longrenge equation. (1) Compute frequency of small orcilations about stable equlibrium position (S)? and a is non-zeso seal constant- qualitative plot of potential function: stable equlibrium positions? iv). Explain in system is words Hamiltonian H of obtained from Longrongion, and write its expression? vd. write homiltonian equations of system?
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