: Nrite down the differential equation(s) that model the vertical dynamics of the system below (assume that no appreciable horizontal or twisting motion occurs). Two masses are suspended from the ceiling. Mass mi is attached to the ceiling by a spring with spring constant k. Mass m2 is attached to the ceiling by a spring with spring constant k2 and is attached to mass m, by a damper with damping constant b. A force u(t) is applied to mass m in the downward direction. The variable a(t) denotes the vertical displacement of mass m and y(t) denotes the vertical displacement of the mass m2.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Please answer the questions provide f.b.d and differential equations , i just need these two things.

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Nrite down the differential equation(s) that model the vertical dynamics of the system below (assume
that no appreciable horizontal or twisting motion occurs). Two masses are suspended from the ceiling. Mass
mị is attached to the ceiling by a spring with spring constant k. Mass m2 is attached to the ceiling by a
spring with spring constant k» and is attached to mass m1 by a damper with damping constant b. A force u(t)
is applied to mass m, in the downward direction. The variable ¤(t) denotes the vertical displacement of mass
m, and y(t) denotes the vertical displacement of the mass m2.
m,
m2
Transcribed Image Text:Nrite down the differential equation(s) that model the vertical dynamics of the system below (assume that no appreciable horizontal or twisting motion occurs). Two masses are suspended from the ceiling. Mass mị is attached to the ceiling by a spring with spring constant k. Mass m2 is attached to the ceiling by a spring with spring constant k» and is attached to mass m1 by a damper with damping constant b. A force u(t) is applied to mass m, in the downward direction. The variable ¤(t) denotes the vertical displacement of mass m, and y(t) denotes the vertical displacement of the mass m2. m, m2
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