A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 60 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds.) u(t) = When does the mass first return to its equilibrium position? t= S

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 60 cm/s, and if there is no damping, determine the position
u of the mass at any time t. (Use g = 9.8 m/s² for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its
equilibrium position at time t seconds.)
u(t) =
When does the mass first return to its equilibrium position?
t =
S
Transcribed Image Text:A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 60 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s² for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds.) u(t) = When does the mass first return to its equilibrium position? t = S
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