Inclined plane pulley problem -- lab report help please

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Homework Help Overview

The discussion revolves around a lab report related to an inclined plane and pulley system, focusing on the acceleration of the masses involved and the mathematical representation of the forces acting on them.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formulation of the acceleration equation and the implications of linearizing equations in the context of the lab experiment. Questions arise regarding the setup and the need for a visual diagram to aid understanding.

Discussion Status

Some participants have provided clarifications on the mathematical expressions used, while others have raised questions about the appropriateness of linearization in this context. There is an ongoing exploration of the concepts involved without a clear consensus on the approach to take.

Contextual Notes

There is a mention of the need for a diagram to better visualize the experimental setup, indicating that the current description may lack sufficient detail for full comprehension.

Jimmyjonny12
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Homework Statement
Hi I have a lab report where I have to linearise the equation below so that it becomes y=mx+c where y= acceleration(a) and x= angle of inclination(sinø) this is all I have gotten to so far
Relevant Equations
a=m2g-m1gsinø-m1gcosøu/m1+m2

u=friction coefficient
a=m2g-m1gsinø-m1gcosøu/m1+m2
 
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Welcome to the PF. :smile:

Is there a diagram that goes with this lab experiment/report? It's hard to visualize the setup from your explanation. You can use the "Attach files" button below the Edit window to upload a PDF or JPEG image of the problem. Thanks
 
Jimmyjonny12 said:
a=m2g-m1gsinø-m1gcosøu/m1+m2
I believe you mean ##a=\frac{m_2g-m_1g\sin(ø)-m_1g\cos(ø)u}{m_1+m_2}##. Parentheses matter!
Not sure what you mean by linearising in this context. If you substitute y for a, x for sin(ø) and √(1-x2) for cos it will not yield a linear equation. Applying a small angle approximation would not make it linear unless you take the cos to approximate 1.
 
Linearizing an equation at a particular x-value(a): L(a)=f(x)+f'(x)(x-a).
See: https://en.wikipedia.org/wiki/Linearization
You're just getting the equation of the line tangent to the curve at that point.
I don't know if that is what your lab is asking you to do.
 

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