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Just a nobody

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This isn't actually a homework question, but the style of it fits best in this forum.

http://img355.imageshack.us/img355/9836/text5029jb0.png [Broken]

Is the translational acceleration of the wheel independent of the torque

Additional variables:

[tex]N = mg[/tex] (since it's on a flat surface)

[tex]f_k = u_k N = u_k m g[/tex]

[tex]\tau[/tex] does not appear in the equation, so [tex]f_k[/tex] is independent of torque. No matter how much the torque is increased, [tex]f_k[/tex] will not increase if the wheel slips.

Thanks for reading through my question,

David

**Diagram**http://img355.imageshack.us/img355/9836/text5029jb0.png [Broken]

- [tex]\tau[/tex] - torque of wheel
- [tex]R[/tex] - radius of wheel
- [tex]f_k[/tex] - force due to kinetic friction

**Question**Is the translational acceleration of the wheel independent of the torque

*when the wheel is slipping*? That is, if the torque is increased, will [tex]f_k[/tex] increase?**My attempt***(Not necessarily correct)*Additional variables:

- [tex]u_k[/tex] - coefficient of kinetic friction between floor and wheel
- [tex]N[/tex] - normal force
- [tex]m[/tex] - mass of wheel
- [tex]g[/tex] - acceleration due to gravity

[tex]N = mg[/tex] (since it's on a flat surface)

[tex]f_k = u_k N = u_k m g[/tex]

[tex]\tau[/tex] does not appear in the equation, so [tex]f_k[/tex] is independent of torque. No matter how much the torque is increased, [tex]f_k[/tex] will not increase if the wheel slips.

Thanks for reading through my question,

David

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