A loaded railroad car is rolling at a constant velocity

In summary, the motion of a loaded railroad car coupled with a spring and dashpot system is defined by the relation x = 60e^{-4.8t} sin16t, where x is in millimeters and t is in seconds. The position, velocity, and acceleration of the car can be determined for specific times (a) t = 0 and (b) t = 0.3 s using this relation. The correct results can be obtained by following the correct approach as shown in Vector Mechanics Dynamics by Beer, problem 11.4.2.
  • #1
Alexanddros81
177
4

Homework Statement


A loaded railroad car is rolling at a constant velocity when it couples with a spring and dashpot
bumber system. After the coupling, the motion of the car is defined by the relation
##x = 60e^{-4.8t} sin16t##, where x and t are expressed in millimeters and seconds, respectively.
Determine the position, the velocity, and the acceleration of the railroad car when
(a) t = 0, (b) t = 0.3 s.

Homework Equations


Vector Mechanics Dynamics Beer P11_4.jpg


The Attempt at a Solution



Vector Mechanics Dynamics Beer P11_4 sa.jpg


Vector Mechanics Dynamics Beer P11_4 sb.jpg


I get the correct results.
Is my approach to solution correct?
 

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  • #2
The approach is correct.
 
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  • #3
name of the book & the page please .....
 
  • #4
youssef1 said:
name of the book & the page please .....
If you tap on the name of the thread creator you will see that Alexanddros has not visited PF for over a year.
Try Googling "A loaded railroad car is rolling at a constant velocity when it couples with a spring and "
 
  • #5
I believe the images have the text book name, Vector Mechanics Dynamics; Author: Beer; Problem 11.4
 

Related to A loaded railroad car is rolling at a constant velocity

1. What is a loaded railroad car?

A loaded railroad car is a type of train car that is specifically designed to transport goods, materials, or cargo from one location to another. It can range in size and can carry a variety of different types of loads, such as coal, grain, or automobiles.

2. What does it mean for a railroad car to be "loaded"?

In the context of a loaded railroad car rolling at a constant velocity, "loaded" refers to the fact that the car is carrying a significant amount of weight or cargo. This weight can affect the car's movement and require additional force to keep it rolling at a constant velocity.

3. What is a constant velocity?

Constant velocity refers to the state of an object's motion where it is moving at a steady speed in a straight line with no changes in direction. In the case of a loaded railroad car, this means that it is rolling along the tracks at a consistent speed without any acceleration or deceleration.

4. What factors can affect the velocity of a loaded railroad car?

The velocity of a loaded railroad car can be affected by several factors, including the weight and type of load being carried, the condition of the tracks, and external forces such as wind or inclines in the track. In order to maintain a constant velocity, these factors must be accounted for and managed by the train operator.

5. How is the velocity of a loaded railroad car measured?

The velocity of a loaded railroad car can be measured using a variety of methods, including radar guns, speedometers, and GPS tracking devices. These instruments measure the speed of the car in miles per hour or kilometers per hour and can provide real-time data to the train operator to ensure a constant velocity is maintained.

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