sed to support the equipment of weight W 1000 lbs shown. The equipment vibrates in such a way that it causes a vertical rcing function P(t) - 100 sin(20t) [Ibs). Draw the degree of freedom for the motion of the machinery. Determine the equation of motion. What type of motion is this? Determine the natural frequency and the displacement of the machinery. What is the maximum amount of force that will be felt by the rest of the structure? (Think about what causes force to of the structure)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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e Q2: An elastic foundation is often used to support heavy machinery that vibrates in such a way to
cause problems for the rest of the structure. An elastic foundation with two equal springs each of stiffness k 600 lbs/in is
used to support the equipment of weight VW 1000 Ibs shown. The equipment vibrates in such a way that it causes a vertical
forcing function P(t) - 100 sin(20t) [Ibs).
(a) Draw the degree of freedom for the motion of the machinery.
(b) Determine the equation of motion. What type of motion is this?
(c) Determine the natural frequency and the displacement of the machinery.
(d) What is the maximum amount of force that will be felt by the rest of the structure? (Think about what causes force to the
rest of the structure)
Rest of etructune
Transcribed Image Text:e Q2: An elastic foundation is often used to support heavy machinery that vibrates in such a way to cause problems for the rest of the structure. An elastic foundation with two equal springs each of stiffness k 600 lbs/in is used to support the equipment of weight VW 1000 Ibs shown. The equipment vibrates in such a way that it causes a vertical forcing function P(t) - 100 sin(20t) [Ibs). (a) Draw the degree of freedom for the motion of the machinery. (b) Determine the equation of motion. What type of motion is this? (c) Determine the natural frequency and the displacement of the machinery. (d) What is the maximum amount of force that will be felt by the rest of the structure? (Think about what causes force to the rest of the structure) Rest of etructune
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