- #1

JoshMP

- 38

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## Homework Statement

In an old-fashioned amusement park ride, passengers stand inside a 5.5m-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a static coefficient of friction against steel in the range 0.63 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed, in rpm, for which the ride is safe?

## Homework Equations

Critical velocity=SQRT(rg)

F=ma

## The Attempt at a Solution

I know how to solve these kinds of problems in the absence of friction, but I don't understand what I need to do with these coefficients. Friction points tangentially to the circular motion in the free body diagram, but how does that influence the (Fnet)y?