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A turntable spins with an angular speed w. A bug of mass m begins walking slowly from the center toward the rim of the turntable. Which of the following represents the maximum distance r from the center that the bug can stand without slipping?

A turntable spins with an angular speed w. A bug of mass m begins walking slowly from the center toward the rim of the turntable. Which of the following represe class=

Answer :

[tex]\begin{gathered} w=\frac{v}{r} \\ v=wr \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} f=\frac{mv^2}{r} \\ f=\frac{mw^2r^2}{r} \\ f=mw^2r \\ r=\frac{f}{mw^2} \end{gathered}[/tex]

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