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A flexible drive belt runs over a fricti...

A flexible drive belt runs over a frictionless flywheel (see Figure). The mass per unit length of the drive belt is 1 kg/m, and the tension in the drive belt is 10N. The speed of the drive belt is 2m/s. The whole system is located on a horizontal plane. Find the normal force (in N) exerted by the belt on the flywheel.

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The correct Answer is:
12 N

`2T-N=momega^(2)R_(cm)=muxxpiRxx((V)/(R))^(2)xx(2R)/(pi)`
`2T-N=2muv^(2)`
`N=2T-2muv^(2)=2xx10-2xx1xx4=12N`
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