A loaded railroad car is rolling at a constant velocity

AI Thread Summary
The discussion focuses on a physics problem involving a railroad car coupled with a spring and dashpot system, with motion described by the equation x = 60e^{-4.8t} sin16t. Participants confirm the correctness of the solution approach for determining position, velocity, and acceleration at specified times. There is a request for the textbook name and page reference, which is identified as "Vector Mechanics Dynamics" by Beer, specifically Problem 11.4. Additionally, it is noted that the original thread creator has not been active on the forum for over a year. The conversation highlights the importance of verifying solutions and referencing academic materials.
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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?
 

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  • 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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The approach is correct.
 
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
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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