For the system shown in Figure 2, u (t) and y(t) denote the absolute displacements of Building A and Building B, respectively. The two buildings are connected using a linear viscous damper with damping coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with harmonic displacement that is described by the following function: y (t)= yocos (wt). kf2 Building A k/2 m(t) C v(1) Building B Equivalent (Building A) 00000000 Figure 2: Single-degree-of-freedom system in Problem 2. 111 Please compute the following related to Building A: (a) Derive the equation of motion of the mass m. (b) Find the expression of the amplitude of the steady-state displacement of the mass m. (t) W(1) (Building B)

Elements Of Electromagnetics
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For the system shown in Figure 2, u (t) and y (t) denote the absolute displacements of Building A and
Building B, respectively. The two buildings are connected using a linear viscous damper with damping
coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with
harmonic displacement that is described by the following function: y(t) = y,cos (wt).
k/2
Building A
H
k/2
M(t)
C
73(1)
Building B
Equivalent
(Building A)
00000000
Figure 2: Single-degree-of-freedom system in Problem 2.
111
uft)
Please compute the following related to Building A:
(a) Derive the equation of motion of the mass m.
(b) Find the expression of the amplitude of the steady-state displacement of the mass m.
(1)
(Building B)
Transcribed Image Text:For the system shown in Figure 2, u (t) and y (t) denote the absolute displacements of Building A and Building B, respectively. The two buildings are connected using a linear viscous damper with damping coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with harmonic displacement that is described by the following function: y(t) = y,cos (wt). k/2 Building A H k/2 M(t) C 73(1) Building B Equivalent (Building A) 00000000 Figure 2: Single-degree-of-freedom system in Problem 2. 111 uft) Please compute the following related to Building A: (a) Derive the equation of motion of the mass m. (b) Find the expression of the amplitude of the steady-state displacement of the mass m. (1) (Building B)
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