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P4.3 Consider the system in Figure P4.3. Rigid bar mass = m Figure P4.3 A rigid bar connected to another mass via a spring a. Derive the differential equations of motion and obtain the mass and stiffness matrices. b. Calculate the natural frequencies and the mode shapes. c. Find the initial conditions such that the free vibration is sinusoidal with each natural frequency.

P4.3 Consider the system in Figure P4.3. Rigid bar mass = m Figure P4.3 A rigid bar connected to another mass via a spring a. Derive the differential equations of motion and obtain the mass and stiffness matrices. b. Calculate the natural frequencies and the mode shapes. c. Find the initial conditions such that the free vibration is sinusoidal with each natural frequency.

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
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P4.3 Consider the system in Figure P4.3. Rigid bar k mass = m m Figure P4.3 A rigid bar connected to another mass via a spring a. Derive the differential equations of motion and obtain the mass and stiffness matrices. b. Calculate the natural frequencies and the mode shapes. c. Find the initial conditions such that the free vibration is sinusoidal with each natural frequency.
Transcribed Image Text:P4.3 Consider the system in Figure P4.3. Rigid bar k mass = m m Figure P4.3 A rigid bar connected to another mass via a spring a. Derive the differential equations of motion and obtain the mass and stiffness matrices. b. Calculate the natural frequencies and the mode shapes. c. Find the initial conditions such that the free vibration is sinusoidal with each natural frequency.
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