How to Derive the Coefficient of Friction from Time and Acceleration?

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Homework Help Overview

The discussion revolves around deriving an expression for the coefficient of friction (COF) using measurements of time and acceleration from a lab experiment involving an inclined plane. The original poster describes their attempts to relate these measurements to the COF, which is needed for subsequent tasks involving kinetic friction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the measurements taken during the experiment, including the angle of the incline, the length of the plane, and the time taken for a plastic box to travel up the incline. Questions are raised about the forces acting on the body and the components of these forces in relation to acceleration. There is an exploration of the equations of motion and the application of Newton's second law.

Discussion Status

The discussion is ongoing, with participants providing insights into the forces involved and suggesting the need for free body diagrams. Some participants express uncertainty about the calculations and the correct application of the equations, while others affirm the validity of the acceleration estimate.

Contextual Notes

Participants note the original poster's lack of recent physics experience and the collaborative nature of the task, which may influence their understanding and approach to the problem.

Mille89
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Homework Statement


Hi! I am working on a lab-report where we have measured the time a body use up a inclined plane.
i am going to find a expression for the coefficient of friction expressed by the time and acceleration that i have found.

This expression do i need for the next task where i am going to find the kinetic friction.

But i have no idea how i can find the expression:oops:

Homework Equations


9fd47b2a39f7a7856952afec1f1db72c67af6161
= f/N

The Attempt at a Solution


9fd47b2a39f7a7856952afec1f1db72c67af6161
= 1/2*at2
 
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Mille89 said:
going to find a expression for the coefficient of friction expressed by the time and acceleration that i have found.
Please describe the experiment in more detail, in particular what measurements were taken.
What forces acted on the body? Which of them had components in the direction of the acceleration?
What equation (ΣF=ma) can you write?
 
This lab exercise was about Newtons 2 law.
Where we where going to find:
  • The angle of the plane (30)
  • Find the lengst of the plane (0.93m)
  • Measure the time up the plane with different underlay, 5 times each.
  • The constant acceleration and compare it with the sum of the forces on the box
  • And Then find the expression for the COF...
I have measured the time a plasticbox(0.0959 kg) use up the plane (length 0.93m). I did this 5 times and found out that the mean was 1.335 s.

Then i used s=vt+1/2*at2
0.93m=0*1.335s+1/2a(1.335s)2
a=2*0.93m/(1.335s)2
a=1.04m/s2
Hmm I think this is wrong i see now that its the constant acceleration i am going to find.

Its like 10 years since i had physics last, so i have forgoten a lot of it:oops: and we where two on this task but right now its only me working on it:confused:

IMG_20190303_101557.jpg

m1(plasticbox) =0.0959kg
m2(Weight, power source) = 0.2kg
 

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Mille89 said:
I think this is wrong
No, your estimate of the acceleration looks fine.
What you need now is the force versus acceleration equations for the two masses.
Draw a separate Free Body Diagram for each.
Write out the ΣF=ma equation for the suspended mass.
For the mass on the ramp, what components of forces act along the slope?
 
The acceleration for the two masse is the same am1m2=2*s/t2 = 2*0.93m/(1.335s)2= 1.04m/s2

The force:
ΣF=ma
Gx= mgsin(30) = 0.470N
Is ΣF Then 0.470N on the mass 1?
IMG_20190305_072043.jpg
 

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Mille89 said:
Gx= mgsin(30) = 0.470N
Is ΣF Then 0.470N on the mass 1?
No, that's just Gx. There are two other forces parallel to the ramp.
 

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