External Fore Damper Damper mass mass m Smooth Surface No Friction Spring Spring

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Task 2
External Force
Damper
Damper
mass
mass
Smooth SurtaceH
No Friction
Spring
Spring
Consider the above spring-mass-damper system. Let the mass m= 1 kg, spring stiffness k= 1 N/m and
damping coefficient b = 1 N.s/m.
(a) What is the number of degrees of freedom?
(b) Find the Mass, Damping and Stiffness matrices.
(c) Find the natural frequencies and mode shapes.
(d) If the damping coefficient, b, is zero and he external force is At) = sint, find the steady state position
amplitude for the two masses.
Transcribed Image Text:Task 2 External Force Damper Damper mass mass Smooth SurtaceH No Friction Spring Spring Consider the above spring-mass-damper system. Let the mass m= 1 kg, spring stiffness k= 1 N/m and damping coefficient b = 1 N.s/m. (a) What is the number of degrees of freedom? (b) Find the Mass, Damping and Stiffness matrices. (c) Find the natural frequencies and mode shapes. (d) If the damping coefficient, b, is zero and he external force is At) = sint, find the steady state position amplitude for the two masses.
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