Two disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have the same radius, R=2.67 m. Disk 1 has a moment of inertia I, 11.4 kg - m². Disk 2 has a moment of inertia ₂ 14.8 kg - m². Let vertically up be the z direction, such that counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity ₁.215.5 rad/s, and disk 2 is initially spinning with a z-component of angular velocity ₂ = -20.2 rad/s.

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Angular Collisions

How much thermal energy is created in the process of disk 1 falling on disk 2 such that they reach a common final angular velocity? You do not need to worry about the gravitational potential energy because the initial separation of the disks is small.

Angular Collisions
Two disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have
the same radius, R= 2.67 m. Disk 1 has a moment of inertia I, = 11.4 kg · m². Disk 2 has a moment of inertia I, = 14.8 kg · m². Let vertically up be the z direction, such that
counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity
wiz = 15.5 rad/s, and disk 2 is initially spinning with a z-component of angular velocity w,,
=-20.2 rad/s.
Disk 1
Disk 2
Transcribed Image Text:Angular Collisions Two disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have the same radius, R= 2.67 m. Disk 1 has a moment of inertia I, = 11.4 kg · m². Disk 2 has a moment of inertia I, = 14.8 kg · m². Let vertically up be the z direction, such that counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity wiz = 15.5 rad/s, and disk 2 is initially spinning with a z-component of angular velocity w,, =-20.2 rad/s. Disk 1 Disk 2
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