The potential energy of a mass m at a distance r from the origin is U(r) = a a (7 + b²2) for 0
The potential energy of a mass m at a distance r from the origin is U(r) = a a (7 + b²2) for 0
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Transcribed Image Text:The potential energy of a mass m at a distance r from the origin is
bc²
U (r)
• (- + ²-²)
for 0<r<∞,
b
where a, b, and c are all positive constants. If y is the distance from equilibrium, show that for small y,
the potential energy has the form U = ky2/2+C. What is the angular frequency of small oscillations?
= a
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