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Consider the double Atwood's machine as ...

Consider the double Atwood's machine as shown in the figure
(a) Whatis acceleration of the masses?
(b) What is the tension in each string?

Text Solution

Verified by Experts

(a) Here the system behaves as rigid system, therefore every part of the system will move with same acceleration. Thus
Applying Newton's law `mg-T=ma`....(i)
`2T-mg=ma`...(ii)
Doubling the first equation and adding
`mg=3 ma rArr` acceleration `a=(1)/(3)g`
(b) Tension in the string `T=m(g-a)=m(g-(g)/(3))=(2)/(3)mg`
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Knowledge Check

  • The coefficient of static friction mu s, between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B, so that two blocks do not move ? The string and the pully are assumed to be smooth and massless.

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