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Classical mechanics question

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A particle moving under a conservative force oscillates between rj and r . Show that the
period of oscillation is
m
T=
V 2[V(z2) – V(x)]
In particular if V = Įmw}(x² – br*), show that the period for oscillations of amplitude a is
2 ra
T =
wo J-a Va? – x²/1 – 6(a² +x²)
dr
W
ull
11:02 AM
2021-11-09 Page: 1 of 1
B I E E E 90% e
Words: 0
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - Calibri (Body) - 11 - A A Aa AaBbCcDc AaBbCcD AaBbC AaBbCc AaBI AqBbCcl E Copy a Replace Paste B I U - abe x, x I Normal Change Styles I No Spaci.. Heading 1 Heading 2 Title Subtitle A Select - Format Painter Clipboard Font Paragraph Styles Editing A particle moving under a conservative force oscillates between rj and r . Show that the period of oscillation is m T= V 2[V(z2) – V(x)] In particular if V = Įmw}(x² – br*), show that the period for oscillations of amplitude a is 2 ra T = wo J-a Va? – x²/1 – 6(a² +x²) dr W ull 11:02 AM 2021-11-09 Page: 1 of 1 B I E E E 90% e Words: 0
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