Undamped Vibrations 5. A 1-kg mass stretches a spring 49 cm. The system is immersed in a medium that imparts a damping force equal to four times the instantaneous velocity of the mass. Find the equation of motion if the mass is released from rest at a point 24 cm above equilibrium. Ans: x(t) = -0.24e-2t cos(4t) – 0.12e-2t sin(4t) %3D
Undamped Vibrations 5. A 1-kg mass stretches a spring 49 cm. The system is immersed in a medium that imparts a damping force equal to four times the instantaneous velocity of the mass. Find the equation of motion if the mass is released from rest at a point 24 cm above equilibrium. Ans: x(t) = -0.24e-2t cos(4t) – 0.12e-2t sin(4t) %3D
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Undamped Vibrations
5. A 1-kg mass stretches a spring 49 cm. The system is immersed in a medium that
imparts a damping force equal to four times the instantaneous velocity of the mass.
Find the equation of motion if the mass is released from rest at a point 24 cm above
equilibrium.
Ans: x(t) = -0.24e-2t cos(4t) – 0.12e-2t sin(4t)
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