Rotating cone.

A solid uniform cone having height and radius RR both, is given an angular velocity ω0\omega_{0} about its symmetry axis without any translational velocity, and its base kept on a surface having coefficient of kinetic friction μk\mu_{k}. Find the the time in seconds after which its stops rotating.

Details and assumptions

  • R=49 cmR = 49 \text{ cm}
  • ω0=20 rad/s\omega_{0} = 20\text{ rad/s}
  • μk=0.06\mu_{k} = 0.06
  • g=9.8 m/s2g = 9.8\text{ m/s}^2
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