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: <-[] = mm₂ K Solution: zi(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 #₂(t) 10m
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: <-[] = mm₂ K Solution: zi(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 #₂(t) 10m
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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asked before but the ans was wrong. pls answer correct and explain so i can unserstand. i will like.thanks
![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
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
•
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.
Solution:
z₁(t):
[]
mm₂
K
18
Wall
#₂ (t)
10m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd61aa0cc-194b-4783-aa03-3c5c9cda5609%2F875771ea-7d52-48eb-9a65-ba31767c04af%2F6x8oos_processed.jpeg&w=3840&q=75)
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
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
•
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.
Solution:
z₁(t):
[]
mm₂
K
18
Wall
#₂ (t)
10m
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