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.
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.
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.
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.
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
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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