External Force Damper Damper mass mass Smooth Surface No Friction Spring Spring sider the above spring-mass-damper system. Let the mass m = 1 kg, spring stiffness k = 1 N/m and ping coefficient b = 1 N.s/m. Vhot ig the numbor of dogroo of froodom?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Please solve (c) and (d) 

External Force
Damper
Damper
mass
mass
Smooth Surface E
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 f(t) = sint, find the steady state position
amplitude for the two masses.
Transcribed Image Text:External Force Damper Damper mass mass Smooth Surface E 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 f(t) = sint, find the steady state position amplitude for the two masses.
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