- #1
aldee11
- 10
- 0
Billiard ball rotating and slipping. help
A ball radius "a" and mass "m" initially spinning counterclockwise with angular speed w=-v0/a with a forward speed vo. The coefficient kinetic friction between the ball and the billiard table is Mu, [Given a,m,vo,mu]
Determine the work lost to friction while slipping using two methods (they should be equal)
W=-Ffs where s the distance ball slips not travels
W= delta Kt + delta Kr
F=ma
Torque= I*alpha
W=v/r
V=vo+at
W=Wo+alpha*t
I found a from equation F= ma where F=-Ff
Then plug in a to eq V=Vo+at
I also found alpha from eq Torque= I alpha
then plug in alpha to eq W=Wo+ alpha t
set V=RW i got T where the slipping becomes rolling without slipping.
The questions are
1. Can i use this t and plug it into eq X=Xo+Vot+0.5at^2 to find The distance the ball SLIPS??
2. If i can't use that equation, then How can i find the distance the ball slips?
3. In finding W= delta Kt + delta Kr, Do I have to use final angular and forward speed that i found from previous calculation or Do i have to find them?
Thank you for your help.
Homework Statement
A ball radius "a" and mass "m" initially spinning counterclockwise with angular speed w=-v0/a with a forward speed vo. The coefficient kinetic friction between the ball and the billiard table is Mu, [Given a,m,vo,mu]
Determine the work lost to friction while slipping using two methods (they should be equal)
W=-Ffs where s the distance ball slips not travels
W= delta Kt + delta Kr
Homework Equations
F=ma
Torque= I*alpha
W=v/r
V=vo+at
W=Wo+alpha*t
The Attempt at a Solution
I found a from equation F= ma where F=-Ff
Then plug in a to eq V=Vo+at
I also found alpha from eq Torque= I alpha
then plug in alpha to eq W=Wo+ alpha t
set V=RW i got T where the slipping becomes rolling without slipping.
The questions are
1. Can i use this t and plug it into eq X=Xo+Vot+0.5at^2 to find The distance the ball SLIPS??
2. If i can't use that equation, then How can i find the distance the ball slips?
3. In finding W= delta Kt + delta Kr, Do I have to use final angular and forward speed that i found from previous calculation or Do i have to find them?
Thank you for your help.
Last edited: