2.14 A particle of mass m is released from rest a distance b from a fixed origin of force that attracts the particle according to the inverse square law: F(x) = -kx Show that the time required for the particle to reach the origin is 1/2 mb3 8k

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Analytical Mechanics

2.14 A particle of mass m is released from rest a distance b from a fixed origin of force that attracts
the particle according to the inverse square law:
F(x) =-kx2
Show that the time required for the particle to reach the origin is
1/2
mb3
8k
Transcribed Image Text:2.14 A particle of mass m is released from rest a distance b from a fixed origin of force that attracts the particle according to the inverse square law: F(x) =-kx2 Show that the time required for the particle to reach the origin is 1/2 mb3 8k
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