Putting rotating cylinder on the ground

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srecko97
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Homework Statement


We put a cyllinder with unknown mass and radius 0.1m which rotates with angular velocity 10 /s around its geometric axis on the horizontal ground. After what time does the cyllinder roll without slipping? Coefficient of friction is 0.1.

Homework Equations


F=ma
M=J ⋅ ∝

The Attempt at a Solution


J- moment of inertia, k-coefficient of friction ... a* - acceleration of center of mass[/B]
image.jpg


image.jpg

The result should be 2.09 s. Please correct me!
 
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I have just realized that everything is OK except the value for angular frequency. The given frequency is not the angular (which I thought) but the usual frequency (number of turns per second)
 
srecko97 said:
I have just realized that everything is OK except the value for angular frequency. The given frequency is not the angular (which I thought) but the usual frequency (number of turns per second)

Of course!
 
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