Bicycle Stem
You have your bicycle upside-down for repairs. The front wheel is free to rotate and is perfectly balanced…?

You have your bicycle upside-down for repairs. The front wheel is free to rotate and is perfectly balanced except for the 26-g valve stem. If the valve stem is 32 cm from the rotation axis and is located 26° below the horizontal, What is the magnitude of the resulting torque about the wheel’s axis?
τ = ____ N·m

Torque is the position vector crossed with the force vector, or τ = r x F, where r is the vector pointing from the axis to the point where the force is applied.

This is equal to rFsinθ, where θ is the angle between the force vector and the position vector.

So, in this case, F = mg, r = 0.32m, and θ = 90° – 26° = 64°.

So, τ = rFsinθ = 0.026kg*9.81m/s²*0.32m*sin(64°) = 0.073Nm.

Bicycle Maintenance & Repairs : How to Install a Threadless Stem for Your Bike

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