Calculate the net torque about the axle of a wheel

AI Thread Summary
The discussion focuses on calculating the net torque about the axle of a wheel, considering opposing forces and angles. A friction torque of 0.45 m·N opposes the motion, while forces of 18N and 35N act in different directions. There is confusion regarding how multiple forces can simultaneously affect the wheel and whether to use the 135-degree angle for the 35N force, which appears tangential. The torque equation is highlighted, emphasizing the importance of the angle between the lever arm and the force. Understanding these factors is crucial for accurately calculating the net torque.
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Homework Statement



Could someone explain this problem a little better to me.

Problem:
Calculate the net torque about the axle of the wheel shown in Fig. 8-39. Assume that a friction torque of 0.45 m·N opposes the motion and that F = 18.

*see attachment for picture.


I'm confused as how a wheel can have to forces (28N and 18N) on it in different directions on it at the same time.
Also, the 35N force looks like it is tangential to the smaller wheel, so do I have to use the 135 degrees in finding it's torque?

Torque equation: T=rFsin()
r=lever arm
F=force

Thanks in advance.
 

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Torque is actually a cross product of r x F. To find the magnitude we've got:

\tau = rFsin(\theta) Where theta is the angle between the moment arm (r) and the force.

So will the 135 degrees be an issue on the 35N force? It looks like the 35N force is tangential from the smaller radius.
 
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