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Consider the double Atwood's machine as ...

Consider the double Atwood's machine as shown in the figure

(a) What is acceleration of the masses?
(b) What is the tension in each string?

Text Solution

Verified by Experts

(a) Here the system behaves as a rigid system, therefore every part of the system will move with same acceleration. Thus Applying newton's law
`{:(mg-T=ma,...(1)),(2T-mg=ma,...(2)):}`
Doubling the first equation and adding
`mg=3maimplies"acceleration"a=1/3g`
(b) Tension in the string `t=m(g-a)=m(g-(g)/(3))=2/3mg`
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