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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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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
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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