The Disc is retarded to 0 rad/s

Consider a disc of mass mm and radius RR touching a rough wall of coefficient of friction μ\mu and a rough floor of coefficient of friction μ\mu as shown in figure. The ring has an initial angular velocity of ω0\omega_0.

Find the time taken by the ring to come to a halt.

Details and Assumptions

  • The disc neither translates on the floor nor on the wall

  • μ=12\mu = \dfrac{1}{2}

  • m=1kgm = 1 kg

  • R=4mR = 4 m

  • g=10m/s2g = 10 m/s^2

  • ω0=9rad/s\omega_0 = 9 rad/s

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