IDraw the free-body diagrams and write the differential equations of motion forthe 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.K₁Rewrite the system equations in terms of z₁ and 22, the relative displacements ofthe masses with respect to the static-equilibrium positions found in part (b).K₂eleM₂fa(1)M₁IILBFigure P2.15111ele///KM₁000M₂K(000Kfa(1)Figure P2.162.16. Repeat all three parts of Problem 2.15 for the system shown in Figure P2.16. Each ofthe three springs has the same spring constant K.

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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.

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

Section: Chapter Questions

Problem 1.1MA

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Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

Question

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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