A mass–spring system with damping consists of a 16-lb

Chapter 5, Problem 8E

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QUESTION:

A mass–spring system with damping consists of a 16-lb weight, a spring with spring constant 64 lb/ft, a frictional component with damping constant 10 lb-sec/ft, and an external force given by f(t) = 20 cos 8t lb. Using an inductor of 0.01 H, construct an RLC series circuit that is the analog of this mechanical system.

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QUESTION:

A mass–spring system with damping consists of a 16-lb weight, a spring with spring constant 64 lb/ft, a frictional component with damping constant 10 lb-sec/ft, and an external force given by f(t) = 20 cos 8t lb. Using an inductor of 0.01 H, construct an RLC series circuit that is the analog of this mechanical system.

ANSWER:

Solution:Step-1:In this problem we need to construct an RLC Series circuit that is the analog of the mechanical system.Step-2:Given values are:We know

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