A loaded railroad car is rolling at a constant velocity

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Homework Help Overview

The problem involves a loaded railroad car that couples with a spring and dashpot system, described by a motion equation. The task is to determine the position, velocity, and acceleration of the car at specific time intervals.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to verify their approach to solving for position, velocity, and acceleration using the provided equation. Some participants confirm the correctness of the approach, while others inquire about the source material.

Discussion Status

The discussion includes confirmations of the approach's correctness and requests for the textbook reference. There is no explicit consensus on the solution process, but some guidance has been provided regarding the source of the problem.

Contextual Notes

Participants note the absence of the original poster from the forum for an extended period, which may affect the continuation of the discussion.

Alexanddros81
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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?
 

Attachments

  • Vector Mechanics Dynamics Beer P11_4.jpg
    Vector Mechanics Dynamics Beer P11_4.jpg
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  • Vector Mechanics Dynamics Beer P11_4 sa.jpg
    Vector Mechanics Dynamics Beer P11_4 sa.jpg
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  • Vector Mechanics Dynamics Beer P11_4 sb.jpg
    Vector Mechanics Dynamics Beer P11_4 sb.jpg
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Last edited:
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The approach is correct.
 
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Likes   Reactions: scottdave
name of the book & the page please .....
 
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 "
 
I believe the images have the text book name, Vector Mechanics Dynamics; Author: Beer; Problem 11.4
 

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