Physics

Problem

A platform of radius

R = 4\,\text{m}

is rotating at

1.5\,\text{rad/s}

. A person of mass

60\,\text{kg}

walks from the center towards the rim along a radial line. The platform has a moment of inertia of

800\,\text{kg}\cdot\text{m}^{2}

. Treat the person as a point mass. Find the angular velocity of the platform when the person is at distance

r = 3\,\text{m}

from the center.