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