Problem $1[10$ Points$]$ A $22$ gram mass bug crawls from the center to the outside edge of a $150-$

gram disk of radius $15\mathrm{.}0$ cm$.$ The disk was initially rotating at $11\mathrm{.}0$ rad$/$s$.$

a$)$ What will be its final angular speed? Treat the bug as a point mass. A solid disk has a

moment of inertia of I $=(1/2)$MR$2?[5$ points$]$

b$)$ What is the average torque on the bug as it moves from the center to the edge, if it takes $3\mathrm{.}2$

seconds to reach the edge of the disk? $[5$ points$]$