A yo-yo is made from two uniform disks each with mass m = 0.34kg and radius R =

Question

A yo-yo is made from two uniform disks each with mass m = 0.34kg and radius R = 23.2 cm, connected by a light axle of radius b =3.7 cm. A light, thin string is wound several times around the axleand then held stationary while the yo-yo is released from rest,dropping as the string unwinds. Find the tension in the string justbefore the yo-yo reaches its lowest point.

Give your answer in Newtons to the first decimal place.

Note: You do not need to know how long the string is to solvethis problem. There is a relation between linear acceleration andTension, and a relation between angular acceleration and Tensionthat should allow you to solve this problem in terms of what youalready know.

The computer says the correct answer is: 6.3

I need clear steps on how this problem was solved.

WILL RANK LIFESAVER!!

Explanation / Answer

m = 0.34 kg, R = 23.2 cm, r = 3.7 cm, find T moment of inertia I = (2m)R2/2 = mR2/2 F = (2m)g - T = (2m)a = T*r = I*, or T*r = mR2 * (a/r), soma = Tr2/R2 (2m)g - T = 2Tr2/R2T = 2mg/(1 +2r2/R2) = 6.34 N

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