a. Draw the free-body diagrams and write the differential equations of motion for the two masses in terms of x₁ and .x₂. b. Find x₁, and x20, the constant displacements of the masses caused by the gravita- tional forces when fa(t) = 0 and when the system is in static equilibrium. c. .. K₁ Rewrite the system equations in terms of 2₁ and 22, the relative displacements of the masses with respect to the static-equilibrium positions found in part (b). K₂ 3 ele M₂ fa(1) M₁ ILL B Figure P2.15 X1 ele K M₁ 000 M₂ K {" K 000 fa(1) Figure P2.16 Repeat all three parts of Problem 2.15 for the system shown in Figure P2.16. Each of three springs has the same spring constant K.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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I
Draw the free-body diagrams and write the differential equations of motion for
the two masses in terms of x₁ and .x2.
b. Find x₁, and X20, the constant displacements of the masses caused by the gravita-
tional forces when fa(t) = 0 and when the system is in static equilibrium.
K₁
Rewrite the system equations in terms of z₁ and 22, the relative displacements of
the masses with respect to the static-equilibrium positions found in part (b).
K₂
ele
M₂
fa(1)
M₁
IIL
B
Figure P2.15
111
ele
///
K
M₁
000
M₂
K
(
000
K
fa(1)
Figure P2.16
2.16. Repeat all three parts of Problem 2.15 for the system shown in Figure P2.16. Each of
the three springs has the same spring constant K.
Transcribed Image Text:I Draw the free-body diagrams and write the differential equations of motion for the two masses in terms of x₁ and .x2. b. Find x₁, and X20, the constant displacements of the masses caused by the gravita- tional forces when fa(t) = 0 and when the system is in static equilibrium. K₁ Rewrite the system equations in terms of z₁ and 22, the relative displacements of the masses with respect to the static-equilibrium positions found in part (b). K₂ ele M₂ fa(1) M₁ IIL B Figure P2.15 111 ele /// K M₁ 000 M₂ K ( 000 K fa(1) Figure P2.16 2.16. Repeat all three parts of Problem 2.15 for the system shown in Figure P2.16. Each of the three springs has the same spring constant K.
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