PRACTICE PROBLEM 9.13 two minecarts are connected as shown below. Friction is negligible. If you know that: • Minecart 1 mass-8 kilograms • Mine cart 1 velocity = 3 m/s to the right Minecart 2 mass-4 kilograms Differential eq: *-[]• = MM K Solution: 2₁ (t) =_ • Minecart 2 velocity = 3 m/s to the left • Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a constant (k) -8 N/m • Minecart 2 is 10 meters away from the wall. • Time (t)=0 is when the mine carts collide and stick together. x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t=0 Make a second order differential equations system that models the situation and find the solution to the system you make. wall. x₂(t) 10m

Elements Of Electromagnetics
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PRACTICE PROBLEM 9.13
two minecarts are connected as shown below. Friction is negligible.
If you know that:
• Minecart 1 mass-8 kilograms
• Mine cart 1 velocity = 3 m/s to the right
mm ₂
K
Differential eq:
*-[],
=
• Minecart 2 mass-4 kilograms
• Minecart 2 velocity = 3 m/s to the left
• Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a
constant (k) -8 N/m
Solution:
21(t)=
wall
• Minecart 2 is 10 meters away from the wall.
• Time (t)=0 is when the mine carts collide and stick together.
• x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t-0
Make a second order differential equations system that models the situation and find the solution to the
system you make.
10m
x₂(t)
Transcribed Image Text:PRACTICE PROBLEM 9.13 two minecarts are connected as shown below. Friction is negligible. If you know that: • Minecart 1 mass-8 kilograms • Mine cart 1 velocity = 3 m/s to the right mm ₂ K Differential eq: *-[], = • Minecart 2 mass-4 kilograms • Minecart 2 velocity = 3 m/s to the left • Minecart 2 will stick to minecart 1 upon impact via the spring on minecart 2. This spring has a constant (k) -8 N/m Solution: 21(t)= wall • Minecart 2 is 10 meters away from the wall. • Time (t)=0 is when the mine carts collide and stick together. • x1 and x2 is the displacement of minecart 1 and 2 respectively from its original position at t-0 Make a second order differential equations system that models the situation and find the solution to the system you make. 10m x₂(t)
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