Acceleration and Friction of a Rolling Cylinder

  • Thread starter hm8
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  • #1
hm8
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Homework Statement


A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with a constant horizontal force F applied by a handle attached to the axle.

a)If it rolls without slipping, find the acceleration.

b)If it rolls without slipping, find the friction force.


Homework Equations


[itex]I_{Hollow Cylinder} = MR^{2}[/itex]

[itex]\sum \tau = f_{friction}R = I\alpha = MR^{2}\alpha[/itex]

[itex]\sum F = F - f_{friction} = F = Ma[/itex]



The Attempt at a Solution


I'm really not sure...it seems like I have too many unknowns (R, a, alpha, friction)
 

Answers and Replies

  • #2
hm8
16
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Ok, so I just remembered that because its not slipping, I can change [itex]\alpha[/itex] to [itex]\frac{a}{r}[/itex]

so I get [itex]f_{friction}R = MR^{2}*\frac{a}{R}[/itex]

which cancels down to [itex]f_{friction} = Ma[/itex]

But when I plug that back into the other equation I just get F - ma = ma.....

where did I go wrong?
 
  • #3
hm8
16
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Any help, guys?
 

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