A bullet of mass 2m moving with velocity v strikes tangentially the edge of a sp

Question

A bullet of mass 2m moving with velocity
v strikes tangentially the edge of a spoked
wheel of radius R, and the bullet sticks to the
edge of the wheel. The spoked wheel has a
mass 6m concentrated on its rim (neglect the
mass of the spokes). The wheel, initially at
rest, begins to rotate about its center, which
remains fixed on a frictionless axle.
What is the angular velocity of the spoked
wheel after the collision?

1. 2v/5R
2. 4v/11R
3. 3v/8R
4. 3v/ 10R
5. 1v/3R
6. 5v/7R
7. 2v/9R
8. 4v/9R
9. 1v/4R
10. 2v/7R

Explanation / Answer

2m*v*R=2mv1*r+6mR^2*v1/R
v1=.25 v

=1v/4R

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