User:Rosencrantz1/sandbox

$m_{1}-m_{2}={m_{1}+m_{2}+m_{p} \over g}a+m_{f}$
$(m_{1}-m_{2}-m_{f})g=(m_{1}+m_{2}+m_{p})a$

$0.01271={0.11804+m_{p} \over 9.81}$

$m_{f}$

$0.06781-0.05023=0.01271\times 1.346+m_{f}$

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$E_{p}=mgh$
$E_{k}={1 \over 2}mv^{2}$
$E_{T}=E_{p}+E_{k}$
$h=r(1-cos{S \over R})$

$195(1-cos{107 \over 200})-195(1-cos{93 \over 200})=6.54$

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$\tau =I\alpha$
$\alpha ={a \over r}$
$\tau _{N}=\tau _{T}-\tau _{f}$
$\tau _{N}=rT=rm(g-a)$
$\tau _{N}=I\alpha +\tau _{f}$
$I=mr^{2}$