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## Homework Statement

4 persons each with mass m stand out on the edge of the carousel that rotates with angular velocity W0. carousel has mass 4m, radius r and inertia I = 2mr^2. The 4 persons then go all the way to the center of the carousel.

Show that the final angular velocity W1 = 3W0

See figure: https://imgur.com/a/uHeg1E8

## Homework Equations

Li = Lf

IW1 = IW0

## The Attempt at a Solution

I tried IW0 = IW1, but the inertia will become 0 because the radius is 0 when the masses are in the center?

2mr^2 * W0 = I * W1

W1 = 2mr^2 * W0 / I

But I is zero?