A particle of mass m moves in the ry-plane, acted on by a linear restoring force F = -kr = -k(x, y), where k is a positive constant. Determine and sketch the trajectory if the initial conditions at t = 0 are r, = (ro, 0) and vo = (0, vo). (1)

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Motion in one and three dimensions
A particle of mass m moves in the ry-plane, acted on by a linear restoring force
F = -kr = -k(x, y), where k is a positive constant. Determine and sketch the
trajectory if the initial conditions at t = 0 are
r, = (ro, 0) and v, = (0, vɔ) .
(1)
Transcribed Image Text:A particle of mass m moves in the ry-plane, acted on by a linear restoring force F = -kr = -k(x, y), where k is a positive constant. Determine and sketch the trajectory if the initial conditions at t = 0 are r, = (ro, 0) and v, = (0, vɔ) . (1)
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