   Chapter 8, Problem 62P

Chapter
Section
Textbook Problem

A disk of mass m is spinning freely at 6.00 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. (a) What is the angular speed of the new system? (b) If a third such disk is dropped on the first two, find the final angular speed of the system.

(a)

To determine
The angular speed of the new system.

Explanation

Given info: The initial angular speed of the disk is 6.00rad/s .

Explanation: The angular momentum of the two-disk system is conserved hence there is no external torque on their collision. The angular moment of these systems is defined as Li=Lf and further this expression is modified as Iω1=(I+I)ω2 .

The formula for the angular speed of the new system is,

ω2=ω12

• ω1 is initial angular speed of the first disk

(b)

To determine
The final angular speed of the system if a third disk that dropped on the first two disks.

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