- #1

harpua09

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## Homework Statement

A cat sits on a merry go round at a radius of 4.0m from the center. The ride makes one complete rotation every 6.3 seconds. What is the least coefficient of static friction to keep the cat in place?

## Homework Equations

Circumference = 2Pi*r

V=d/t

a=v^2/r

## The Attempt at a Solution

I first figured out the circumference of the circle traveled by the cat to be:

2 x 4.0 x Pi= 25.13m

Velocity of the cat:

V = 25.13/6.3 = 3.99 m/s

Centripetal acceleration of the cat:

a = 3.99^2 / 4.0 = 3.98 m/s^2

I'm assuming that i have to use the formula for static friction in some way, but i am not sure how to apply it to what i have calculated so far. Any help would be greatly appreciated, thanks.