تم الحل ✓
categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two
springs, one of which is attached to the wall, as shown in the figure. Let x1| and x2| be the displacement
of the first and second masses from their equilibrium positions. Suppose the masses are m₁ = 10 kg|
and m2 = 5 kg, and the spring constants are k₁ = 80 N/m❘ and k₂ = 40 N/m
a. Set up a system of second-order differential equations that models this situation.
X
Systen of masses and springs.
(1 pt)
11+
x
TH
b. Find the general solution to this system of differential equations. Use a1, a2, b1, b2 to denote arbitrary constants, and
enter them as a1, a2, b1, b2.
x1(t) =|
x2(t) =|
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