# Rotating cone.

A solid uniform cone having height and radius $R$ both, is given an angular velocity $\omega_{0}$ about its symmetry axis without any translational velocity, and its base kept on a surface having coefficient of kinetic friction $\mu_{k}$. Find the the time in seconds after which its stops rotating.

Details and assumptions

• $R = 49 \text{ cm}$
• $\omega_{0} = 20\text{ rad/s}$
• $\mu_{k} = 0.06$
• $g = 9.8\text{ m/s}^2$
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