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