2. A mass of 0.5 kg is attached to a spring of unknown spring constant and a dashpot that supplies a damping force of 10 N for each m/sec of speed. Which of the following differential equations describes the motion of the mass if it is known that the system is overdamped? Note that x is the displacement of the mass and t is the time that the mass is in motion. A. 0.5y" + 10y' + 50y = 0 B. 0.5y" + 10y' +75y = 0 C.0.5y" + 10y' + 25y = 0 D. 0.5y" + 10y + 100y = 0 %3D

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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2. A mass of 0.5 kg is attached to a spring of unknown spring constant and a dashpot that supplies a damping
force of 10 N for each m/sec of speed. Which of the following differential equations describes the motion of the
mass if it is known that the system is overdamped? Note that x is the displacement of the mass and t is the time
that the mass is in motion.
A. 0.5y" + 10y' + 50y = 0
B. 0.5y" + 10y' + 75y = 0
C. 0.5y" + 10y' + 25y = 0
D. 0.5y" + 10y + 100y = 0
%3D
Transcribed Image Text:2. A mass of 0.5 kg is attached to a spring of unknown spring constant and a dashpot that supplies a damping force of 10 N for each m/sec of speed. Which of the following differential equations describes the motion of the mass if it is known that the system is overdamped? Note that x is the displacement of the mass and t is the time that the mass is in motion. A. 0.5y" + 10y' + 50y = 0 B. 0.5y" + 10y' + 75y = 0 C. 0.5y" + 10y' + 25y = 0 D. 0.5y" + 10y + 100y = 0 %3D
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