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Average Velocity and Angle of Inclination of a Slope 
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#1
Feb614, 06:31 AM

P: 5

What is the relationship between a ball rolling down a slope (ramp) and its average velocity.
I know we are supposed to use: v^2 = ut + at/2 and F = mgsin(degree). But assume initial velocity is zero. Also if I do an experiment and I get results (make a graph between average velocity and cosine or sine of angle) how can I find the frictional force found within the slope? I'll know there is an error (friction) as the graph is linear but nor propotional. Thanks! 


#2
Feb614, 06:35 AM

P: 2,785




#3
Feb614, 06:42 AM

P: 5

Given my data, how do I find out the frictional force acting on the ball? What equations and how can I solve this? Thanks 


#4
Feb614, 07:33 AM

P: 2,785

Average Velocity and Angle of Inclination of a Slope



#5
Feb614, 07:36 AM

P: 5

Ahh good thinking... However someone, in another forum, suggested this (attached) in finding the frictional force. Thoughts?



#6
Feb614, 07:38 AM

P: 907

One model for this would be to assume that the primary error contribution is from rolling resistance and look for the point where the extrapolated graph crosses the x axis. This is the point where rolling resistance would be equal to friction so that velocity would be constant and zero. Given the angle where acceleration is zero, it is a simple high school physics exercise to compute the required rolling resistance. 


#7
Feb614, 07:38 AM

P: 5

[//]



#8
Feb614, 07:42 AM

P: 5

Alright, so lets say that the xinc happens to be sin (0.2). I would just use that, and gravity on earth (9.81ms^2, to simply calculate the frictional force? Correct? If so, thanks! What are your thoughts on the snapshot I attached above? It seems like an alternative to calculating the frictional force; although your method seems much easier. 


#9
Feb614, 11:51 AM

P: 907

The bottom portion of the snapshot seems to conclude that g is 13.6 m/sec^{2}. But I think that ignores static friction/the moment of inertia of the ball. 


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