Solving a Wheel on Step Question - Torque Calculation and Solution Attempt

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The discussion focuses on calculating torque in a problem involving a wheel on a step. The key equation for torque is clarified as τ = rF, emphasizing the importance of the radius at which the force acts. The solution approach involves identifying the effective radius (R - h) where the force F_min is applied to counteract another force. The poster is encouraged to apply this reasoning to subsequent parts of the problem. Understanding the correct application of torque principles is essential for solving the question accurately.
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Homework Statement



Question is here. http://i.imgur.com/WOy0w.png

WOy0w.png


Homework Equations


Torque=FR


The Attempt at a Solution



1)
1)I thought it is radius. But radius is not one of the option
2)I thought this is radius too.
3)Not sure about this question,maybe get torque get acceleration and than use Mgr=I*alpha
Thanks!
 

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Greetings! Remember that torque is \tau = \overline{r} \times \overline{F}, which is different than \tau = rF. In other words, torque is the radius at which a force acts perpendicularly to the lever arm, times the magnitude of the force. Thus, for part A, note that the corner of the step will be exerting a force F_{min} directly to the left in order to counteract the rightward force on the wheel's axle. If we extend this leftward F_{min}, we see that it acts perpendicularly to the wheel at a radius of R - h (the moment arm is conveniently indicated by the vertical dotted line).

Therefore, for part A, \tau = \overline{r} \times \overline{F} = (R-h)F_{min}. Try applying this same strategy to part B.
 
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