A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 2 inches below the equilibrium position. Give the initial conditions. (Useg = 32 ft/s2 for the acceleration due to gravity.) 1 x(0) = ft 6 x'(0) = ft/s Find the equation of motion. x(t) = ft

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 2 inches below the equilibrium position.

Give the initial conditions. (Use \( g = 32 \, \text{ft/s}^2 \) for the acceleration due to gravity.)

\[ x(0) = \frac{-1}{6} \, \text{ft} \, \text{(incorrect)} \]

\[ x'(0) = 0 \, \text{ft/s} \, \text{(correct)} \]

Find the equation of motion.

\[ x(t) = \, \text{ft} \] (No solution provided)
Transcribed Image Text:A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 2 inches below the equilibrium position. Give the initial conditions. (Use \( g = 32 \, \text{ft/s}^2 \) for the acceleration due to gravity.) \[ x(0) = \frac{-1}{6} \, \text{ft} \, \text{(incorrect)} \] \[ x'(0) = 0 \, \text{ft/s} \, \text{(correct)} \] Find the equation of motion. \[ x(t) = \, \text{ft} \] (No solution provided)
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