Angular velocity of sphere and two points

  • #1

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?
 

Answers and Replies

  • #2
671
2
Yes, that's exactly right. Why not try and solve it and show us if you get stuck at any point along the way?

As a general note, we won't do your homework for you here, you should show your own attempt at the solution in order for us to help you the best we can.
 

Related Threads on Angular velocity of sphere and two points

  • Last Post
Replies
2
Views
23K
  • Last Post
Replies
3
Views
5K
Replies
1
Views
572
  • Last Post
Replies
5
Views
5K
Replies
12
Views
443
Replies
1
Views
1K
Replies
2
Views
898
Replies
2
Views
2K
Replies
5
Views
881
Replies
3
Views
4K
Top