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

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

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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