A uniform solid disk $($I $=2$mr$2)$ of mass $1\mathrm{.}0$ kg and a radius $25$ cm rotates

about its main axis with an angular speed of $10$ rad$/$s$.$ A $0\mathrm{.}5-$kg piece

of putty $($I $=$ mr$2)$ is dropped vertically onto the disk at a point $15$ cm

from the axis of rotation. If the putty sticks to the disk, calculate the final

angular speed of the system.

d$)$

e$)$

$15\mathrm{.}6$ rad$/$s

$7\mathrm{.}4$ rad$/$s

$6\mathrm{.}3$ rad$/$s

$5\mathrm{.}0$ rad$/$s

$8\mathrm{.}5$ rad$/$s