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Calculus / Fundamentals of Differential Equations 8 / Chapter 5.7 / Problem 7E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

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A mass–spring system with damping consists of a 7-kg mass,

Chapter 5, Problem 7E

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Problem 7E

A mass–spring system with damping consists of a 7-kg mass, a spring with spring constant 3 N/m, a frictional component with damping constant 2 N-sec/m, and an external force given by f(t) = 10cos 10t N. Using a 10Ω resistor, construct an RLC series circuit that is the analog of this mechanical system in the sense that the two systems are governed by the same differential equation.

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QUESTION:

Problem 7E

A mass–spring system with damping consists of a 7-kg mass, a spring with spring constant 3 N/m, a frictional component with damping constant 2 N-sec/m, and an external force given by f(t) = 10cos 10t N. Using a 10Ω resistor, construct an RLC series circuit that is the analog of this mechanical system in the sense that the two systems are governed by the same differential equation.

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Solution:

Step 1:

In this problem we need to construct an RLC Series circuit that is the analog of the mechanical system.

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