9.5. Yo-Yo Type Problems http://www.ck12.org
T=
1
2 mr
(^2) α
r
substituting forI
T=
1
2
mr^2
a
r
1
r
substituting forαin terms ofa
T=
1
2
ma simplifying the equation.
We can now plug this back into our original Newton’s second law equation from the first step.
mg−T=ma start with the equation from we derived in the first step
mg−
1
2
ma=ma substitute for T
a=
2
3
g simplifying and solving for a
Watch this Explanation
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/408
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/1874
Explore More
- A game of tug-o-war is played... but with a twist (ha!). Each team has its own rope attached to a merry-
go-round. One team pulls clockwise, the other counterclockwise. Each pulls at a different point and with a
different force, as shown.