Question
(II) The origin of a coordinate system is at the center of a whecl which rotates in the $x y$ plane about its axle which is the $z$ axis. A force $F=215 \mathrm{N}$ acts in the $x y$ plane, at a $+33.0^{\circ}$angle to the $x$ axis at the point $x=28.0 \mathrm{cm}, y=33.5 \mathrm{cm}$ . Determine the magnitude and direction of the torque produced by this force about the axis.
Step 1
The position vector is given by $\vec{r} = x\hat{i} + y\hat{j}$, where $x = 0.28\,m$ and $y = 0.335\,m$. The force vector is given by $\vec{F} = F\cos(\theta)\hat{i} + F\sin(\theta)\hat{j}$, where $F = 215\,N$ and $\theta = 33.0^\circ$. Show more…
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