9.5. Yo-Yo Type Problems http://www.ck12.org
T=
1
2 mr(^2) α
r
substituting forI
T=
1
2
mr^2a
r1
r
substituting forαin terms ofaT=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 stepmg−1
2
ma=ma substitute for Ta=2
3
g simplifying and solving for aWatch this Explanation
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URL: http://www.ck12.org/flx/render/embeddedobject/1874Explore 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.