Angular momentum/angular velocity.

  • Thread starter the whizz
  • Start date
  • #1
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Homework Statement



1.A solid, vertical cylinder of mass 10.0 kg and radius 1.00 m rotates with an angular speed of 7.00 rad/s about a fixed vertical axis through its center. A .250 kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center of ration and sticks to the cylinder. Determine the final angular speed of the system.


Homework Equations



Lbefore=Lafter
L=Iw

The Attempt at a Solution



the angular momentum is L and the angular velocity is what i am looking for that is w.
I beleive you can say that IoWo should = IW

I am unsure what you are to do with the mass of the putty and the center of radian issue.

I believe you need to set up taht W = (Io/I)wo

Io = MR^2???
 

Answers and Replies

  • #2
343
1
[tex] I_{o}\times \omega_{o}=I_{f}\times \omega_{f} [/tex]

We know [tex] I_{o}= \frac{1}{2}MR^2 [/tex] plus we know wf

[tex] I_{f}=\frac{1}{2}MR^2+mr^2 [/tex]
Note: the [tex] I_{f} [/tex] changes, the parallel axis theorm is used.

only [tex] \omega_f [/tex] left that's unknown.
 

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