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## Homework Statement

A uniform sphere of mass m and radius R rotates around the vertical axis with angular speed [tex]\omega[/tex]. Two particles of mass m/2 are brought close to the sphere at diametrically opposite points, at an angle [tex]\Theta[/tex] from the vertical. The masses, which are initially essentially at rest, abruptly stick to the sphere. What angle does the resulting [tex]\vec{\omega}[/tex], make with the vertical?

## Homework Equations

so the moment of inertia of the sphere by itself is [tex]I=\frac{2}{5}mR^{2}[/tex]

## The Attempt at a Solution

I don't really know how to start this question off, or what method I would use. There is a changing moment of inertia, so would I use conservation of angular momentum to find the resulting angular velocity?