A frictionless spring with a 8-kg mass can be held stretched 0.8 meters beyond its natural length by a force of 100 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 0.5 m/sec, find the position of the mass after t seconds. 0.032 sin [(sqrt (125/8))t] meters

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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125
0.032 sin ()
0.032*sin(sqrt(125/8)*t)
8
A frictionless spring with a 8-kg mass can be held stretched 0.8 meters beyond its natural length by a force of 100 newtons. If the spring begins at its equilibrium position, but a
push gives it an initial velocity of 0.5 m/sec, find the position of the mass after t seconds.
0.032 sin [(sqrt (125/8))t]
meters
Transcribed Image Text:Entered Answer Preview 125 0.032 sin () 0.032*sin(sqrt(125/8)*t) 8 A frictionless spring with a 8-kg mass can be held stretched 0.8 meters beyond its natural length by a force of 100 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 0.5 m/sec, find the position of the mass after t seconds. 0.032 sin [(sqrt (125/8))t] meters
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