A spring attached to the ceiling is stretched 1,225 meters by a one kilogram mass. If the mass is set into motion in a medium that imparts a damping force numerically equal 4 times the velocity , the...

A spring attached to the ceiling is stretched 1,225 meters by a one kilogram mass. If<br>the mass is set into motion in a medium that imparts a damping force numerically<br>equal 4 times the velocity , the correct differential equation for the position x(t), of<br>the mass at a function of time t, is<br>O d²x<br>dt2<br>+44 +4x = 0<br>d² x<br>dt?<br>+4d +8x<br>4t<br>dt?<br>+44 +2x = 0<br>+2x%3D0<br>4t<br>Dd.<br>dt<br>+44 + = 0<br>4.<br>d +4 +32x = 0<br>+4dr<br>4t<br>dt2<br>

Extracted text: A spring attached to the ceiling is stretched 1,225 meters by a one kilogram mass. If the mass is set into motion in a medium that imparts a damping force numerically equal 4 times the velocity , the correct differential equation for the position x(t), of the mass at a function of time t, is O d²x dt2 +44 +4x = 0 d² x dt? +4d +8x 4t dt? +44 +2x = 0 +2x%3D0 4t Dd. dt +44 + = 0 4. d +4 +32x = 0 +4dr 4t dt2

Jun 05, 2022

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A spring attached to the ceiling is stretched 1,225 meters by a one kilogram mass. If the mass is set into motion in a medium that imparts a damping force numerically equal 4 times the velocity , the...

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