Bowling ball rotation

  • Thread starter Xamfy19
  • Start date
  • #1
60
0
a bowling ball is given an initial speed vo on an alley such that it initially slides without rolling. The coefficient of friction between ball and alley is u.

find the speed of the ball's center of mass vCM at the time pure rolling motion occurs.

i used (1/2)mvo^2=(1/2)mVCM^2 + (1/2)Iw^2
I=(2/5)mr^2

i got vo^2=(7/5)v^2 which is wrong.

how do i solve this problem?
 

Answers and Replies

  • #2
Doc Al
Mentor
45,010
1,284
Originally posted by Xamfy19
i used (1/2)mvo^2=(1/2)mVCM^2 + (1/2)Iw^2
I=(2/5)mr^2
It looks like you are assuming that energy is conserved. Why?
 
  • #3
60
0
Well, I think the friction must have consumed certain energy too. However, I have no idea how to incorporate it into the equation.
 
  • #4
Doc Al
Mentor
45,010
1,284
There are several ways to attack this problem. Here's one way:

Picture what's happening. The ball starts with pure translational motion. The friction slows the translational motion, and starts the ball rotating. So write equations for the translational motion and for the rotational motion, due to the friction. The ball will slow down (but increase rotational speed) until the speed is just right to stop slipping.
 

Related Threads on Bowling ball rotation

  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
5
Views
1K
  • Last Post
4
Replies
90
Views
5K
Replies
5
Views
371
Replies
1
Views
2K
Replies
15
Views
12K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
13
Views
8K
  • Last Post
Replies
4
Views
12K
Top