Question

# Forces F1=7.50N and F2=5.30N are applied tangentially to a wheel with radius 0.330m. What is the net trque on the wheel due tothese two forces for an axis perpendicular to the wheel and passingthrough its center.

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Forces $$F1=7.50N$$ and $$F2=5.30N$$ are applied tangentially to a wheel with radius 0.330m. What is the net trque on the wheel due tothese two forces for an axis perpendicular to the wheel and passingthrough its center.

2021-05-21

F1 is negative because of right hand rule. think of it this way: itis anti clock wise. so therefore F2 is positive.
$$T=Fr$$
theredore:
$$\displaystyle{T}{1}=-{F}{1}\cdot{r}$$
$$\displaystyle{T}{2}={F}{2}\cdot{r}$$
$$\displaystyle{T}_{\ne}{t}={r}{\left({F}{2}-{F}{1}\right)}$$