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an amusement park contains a big cylinder of radius R oriented horizontally and rotating with angular...

an amusement park contains a big cylinder of radius R oriented horizontally and rotating with angular velocity w about its axis. Achild of mass m is sitting partway up one side so that she remains at rest a distance h above the bottom of the rotating cylinder. There is the coefficient of kinetic friction between child and the cylinder. In terms of R and h ,

how much is the angle?

What is the normal force N acting on the child ?

Assuming the maximum value of the coefficient of kinetic friction is 1, what is the maximum value of h?

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