**Example 3.6.2**We have two toy rail cars. Car 1 of mass 2 kg is traveling at 3 m/s towards the second rail car of mass 1 kg. There is a bumper on the second rail car that engages at the moment the cars hit (it connects the two cars) and does not let go. The bumper acts like a spring of spring constant \( k = 2 \, \text{N/m} \). The second car is 10 meters from a wall. See the following figure.**Diagram Explanation:**The diagram shows:- Car 1 with mass \( m_1 \) is moving towards Car 2 with mass \( m_2 \).- A spring with constant \( k \) is between the two cars.- Car 2 is 10 meters from a wall.We want to ask several questions. At what time after the cars link does impact with the wall happen? What is the speed of car 2 when it hits the wall?[Show solution]---**Exercise 3.6.2**Suppose in Example 3.6.2 the second car is moving to the left at 3 m/s at the time of impact. Find the behavior of the system after linkup:At first, the second car will start moving to the left, but then it will move to the right for a while. When is the next time \( t \) that the second car will start moving to the left?\( t = \text{[ ]} \)[Hint]

“Since you have posted multiple questions, we will provide the solution only to the first question…

m - We have two toy rail cars. Car 1 of mass 2 kg is traveling at 3 towards the second rail car of mass 1 kg. There is a bumper on the second rail car that engages at the moment the cars hit (it connects to S N The second - two cars) and does not let go. The bumper acts like a spring of spring constant k = 2- car is 10 meters from a wall. See the following figure. 21 k ww m2 10 meters m We want to ask several questions. At what time after the cars link does impact with the wall happen? What is the speed of car 2 when it hits the wall?

m - We have two toy rail cars. Car 1 of mass 2 kg is traveling at 3 towards the second rail car of mass 1 kg. There is a bumper on the second rail car that engages at the moment the cars hit (it connects to S N The second - two cars) and does not let go. The bumper acts like a spring of spring constant k = 2- car is 10 meters from a wall. See the following figure. 21 k ww m2 10 meters m We want to ask several questions. At what time after the cars link does impact with the wall happen? What is the speed of car 2 when it hits the wall?

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

**Example 3.6.2**

We have two toy rail cars. Car 1 of mass 2 kg is traveling at 3 m/s towards the second rail car of mass 1 kg. There is a bumper on the second rail car that engages at the moment the cars hit (it connects the two cars) and does not let go. The bumper acts like a spring of spring constant \( k = 2 \, \text{N/m} \). The second car is 10 meters from a wall. See the following figure.

**Diagram Explanation:**

The diagram shows:
- Car 1 with mass \( m_1 \) is moving towards Car 2 with mass \( m_2 \).
- A spring with constant \( k \) is between the two cars.
- Car 2 is 10 meters from a wall.

We want to ask several questions. At what time after the cars link does impact with the wall happen? What is the speed of car 2 when it hits the wall?

[Show solution]

---

**Exercise 3.6.2**

Suppose in Example 3.6.2 the second car is moving to the left at 3 m/s at the time of impact. Find the behavior of the system after linkup:

At first, the second car will start moving to the left, but then it will move to the right for a while. When is the next time \( t \) that the second car will start moving to the left?

\( t = \text{[ ]} \)

[Hint]

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