A stationary disc resting on a rotating disc A solid homogeneous disk (cylinder) A of 10 kg whose radius is 30 cm rotates at 4 rad/s on a frictionless horizontal surface. On disk A, place a solid and homogeneous disk B of 5 kg, the radius of which is 20 cm (the centers of the two disks are located one above the other). Disc B is initially stationary, but due to the friction between the two discs, it eventually spins same angular velocity as disk A. (a) Determine the final angular velocity of the disks. (b) Calculate the percentage of initial kinetic energy that has been transformed by friction into thermal energy.

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Chapter1: Units, Trigonometry. And Vectors
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A stationary disc resting on a rotating disc

A solid homogeneous disk (cylinder) A of 10 kg whose radius is
30 cm rotates at 4 rad/s on a frictionless horizontal surface. On disk A, place a solid and homogeneous disk B of 5 kg, the radius of which is 20 cm (the centers of the two disks are located one above the other). Disc B is initially stationary, but due to the friction between the two discs, it eventually spins same angular velocity as disk A.
(a) Determine the final angular velocity of the disks.
(b) Calculate the percentage of initial kinetic energy that has been transformed by friction into thermal energy.

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