Pytels Dynamics 12.35: A cart carrying a small package

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Homework Help Overview

The problem involves a cart moving up an incline with a package that remains at rest relative to the cart. The goal is to determine the acceleration of the cart while neglecting friction. The context is within the subject area of dynamics.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the correctness of equations and the forces acting on the package. Questions are raised about the definitions of variables and the relevance of certain equations, such as the relationship between angle and distance.

Discussion Status

The discussion is ongoing, with participants providing diagrams and seeking validation of their approaches. There is an emphasis on checking the accuracy of the presented solutions and diagrams, but no consensus has been reached regarding the correctness of the methods used.

Contextual Notes

Some participants note the assumption of neglecting friction and question the definitions of variables used in the equations. There is also a mention of the need for clarity in the forces acting on the mass.

Alexanddros81
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Homework Statement


The cart carrying the small 9-N package A is moving up the incline with constant acceleration α. If the package stays at rest relative to the cart in the position θ=45deg, determine the value of α. Neglect friction.

Homework Equations

The Attempt at a Solution


Pytel_Dynamics12_35.jpg

[/B]
Are my equations correct?

Also how do I continue finding α? Does the ##θ=\frac {s} {r}## comes into play?
 
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Alexanddros81 said:
Are my equations correct?
Hard to tell if you do not define your variables.
What forces act on the mass? (I assume you are to ignore friction.) What are the magnitudes and directions of those forces? What is the magnitude and direction of the resultant force?
 
Here is a body diagram.

Pytel_Dynamics12_35b.jpg


and here is my solution:

Pytel_Dynamics12_35c.jpg


Can you check this and tell me if it is correct
 
Alexanddros81 said:
Here is a body diagram.

View attachment 207915

and here is my solution:

View attachment 207916

Can you check this and tell me if it is correct
I didn't check the precision of the numbers, but it looks right.
 

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