1. The problem statement, all variables and given/known data A uniform sphere of mass [tex]m[/tex]and radius [tex]R[/tex] rotates around the vertical axis with angular speed [tex]\omega[/tex]. Two particles of mass [tex]m/2[/tex] are brought close to the sphere at diametrically opposite points, at an angle [tex]\theta[/tex] with the vertical. The masses, which are initially at rest, abruptly stick to the sphere. What angle does the resulting [tex]\omega[/tex] make with the vertical. 2. Relevant equations [tex]\Delta L = r\times \int Fdt[/tex] Equations for principal moments 3. The attempt at a solution I'm very confused about how to start this problem. The book I'm using only does motion after an impulsive blow and frequency of motion due to a torque types of problems. I believe this one is an impulsive blow problem. Angular momentum of the system changes when the two masses stick to the sphere. But I'm confused where to go from here. I don't know how to calculate the angular momentum of the system when the two masses stick, and I don't know how to find the change in the axis of rotation. Thanks for your help guys.