PRACTICE PROBLEM 8.2 two minecarts are connected as shown below. Friction is negligible. Assume that x1 & x2 is the displacement of the mass of the first cart and the mass of the second cart from their starting positions respectively. KI www. If you know that: Both minecarts have a mass=2 kilograms Spring constant (k1)-72N/m Spring constant (k2)-108N/m Spring constant (k3)-72N/m m, General solution: [x₁(t)] [₂(t)] M₂ Make a second order differential equations system that models the situation and find the general solution to the system you make. Differential eq: a (a₁ cos (-) + b₁ sin (-)) + + [-] (a₂ cos K3 www (a2 cos (-) + b₂ sin (-))

Elements Of Electromagnetics
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PRACTICE PROBLEM 8.2
two minecarts are connected as shown below. Friction is negligible.
Assume that x1 & x2 is the displacement of the mass of the first cart and the mass
of the second cart from their starting positions respectively.
KI
m₂
If you know that:
Both minecarts have a mass = 2 kilograms
Spring constant (kl)-72N/m
Spring constant (k2)=108N/m
Spring constant (k3)=72N/m
Differential eq:
=[]
General solution:
[21(t)]
[x₂(t)]
M₂
Make a second order differential equations system that models the situation and
find the general solution to the system you make.
(a₁ cos (-) + b₁ sin (-)) +
-[-] (₂ cos
K3
MW
(a2 cos (-) + b₂ sin (-))
Transcribed Image Text:PRACTICE PROBLEM 8.2 two minecarts are connected as shown below. Friction is negligible. Assume that x1 & x2 is the displacement of the mass of the first cart and the mass of the second cart from their starting positions respectively. KI m₂ If you know that: Both minecarts have a mass = 2 kilograms Spring constant (kl)-72N/m Spring constant (k2)=108N/m Spring constant (k3)=72N/m Differential eq: =[] General solution: [21(t)] [x₂(t)] M₂ Make a second order differential equations system that models the situation and find the general solution to the system you make. (a₁ cos (-) + b₁ sin (-)) + -[-] (₂ cos K3 MW (a2 cos (-) + b₂ sin (-))
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