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The transfer function G(s) = X(s)/U(s).

The transfer function G(s) = X(s)/U(s).

Elements Of Electromagnetics
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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4 Problem Consider an aluminum rod of length L = 2 m and cross-sectional area A = 0.01 m² (shown on the left). Attached to the rod tip is a concentrated mass mc = 10 kg, and a force u(t) is applied which causes a small amount of extension/compression of the rod. An equivalent lumped parameter
Transcribed Image Text:4 Problem Consider an aluminum rod of length L = 2 m and cross-sectional area A = 0.01 m² (shown on the left). Attached to the rod tip is a concentrated mass mc = 10 kg, and a force u(t) is applied which causes a small amount of extension/compression of the rod. An equivalent lumped parameter
md k L Mc u(t) me Ju(t) model of the system is shown on the right. Assume that the density of aluminum is p kg/m³ and Young's modulus is E 68 x 10 Pa. Using the lumped parameter tables from Lecture 15 to find: ⚫ the equivalent lumped mass me ⚫ the equivalent stiffness k using the above expressions determine the transfer function G(s) = X(s)/U(s). === 2710
Transcribed Image Text:md k L Mc u(t) me Ju(t) model of the system is shown on the right. Assume that the density of aluminum is p kg/m³ and Young's modulus is E 68 x 10 Pa. Using the lumped parameter tables from Lecture 15 to find: ⚫ the equivalent lumped mass me ⚫ the equivalent stiffness k using the above expressions determine the transfer function G(s) = X(s)/U(s). === 2710
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