4. A mass m is on a frictionless table and is attached to the wall by a massless spring (spring constant k). The air friction on the block is f=-2ßmv. During an earthquake, the wall moves left and right as y(t) = B cos w t. %3D y(t)=Bcos » t wwwm x(t)=? (a) Show that the eqn. of motion for m is * + 2ßx + w¿x = f cos wt with wo k %3D m Express fin terms of B and wq. (b) Derive the amplitude of the m oscillation. (c) What is the amplitude at the resonance frequency w = wo?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4. A mass m is on a frictionless table and is attached to the wall by a massless spring (spring
constant k). The air friction on the block is f=-2ßmv. During an earthquake, the wall moves
left and right as y(t) = B cos w t.
y(t)=Bcos m t
www
m
x(t)=?
(a) Show that the eqn. of motion for m is * + 2ßx + w¿x = f cos wt with wo =
%3D
т
Express fin terms of B and wo.
(b) Derive the amplitude of the m oscillation.
(c) What is the amplitude at the resonance frequency w = wo?
Transcribed Image Text:4. A mass m is on a frictionless table and is attached to the wall by a massless spring (spring constant k). The air friction on the block is f=-2ßmv. During an earthquake, the wall moves left and right as y(t) = B cos w t. y(t)=Bcos m t www m x(t)=? (a) Show that the eqn. of motion for m is * + 2ßx + w¿x = f cos wt with wo = %3D т Express fin terms of B and wo. (b) Derive the amplitude of the m oscillation. (c) What is the amplitude at the resonance frequency w = wo?
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