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Question Number 32440 by Tinkutara last updated on 25/Mar/18

Answered by ajfour last updated on 25/Mar/18

5g−T=5(2a)  2T−5g=5a  ⇒  5g−T=4T−10g  ⇒   T=30N .

$$\mathrm{5}{g}−{T}=\mathrm{5}\left(\mathrm{2}{a}\right) \\ $$$$\mathrm{2}{T}−\mathrm{5}{g}=\mathrm{5}{a} \\ $$$$\Rightarrow\:\:\mathrm{5}{g}−{T}=\mathrm{4}{T}−\mathrm{10}{g} \\ $$$$\Rightarrow\:\:\:{T}=\mathrm{30}{N}\:. \\ $$

Commented by Tinkutara last updated on 25/Mar/18

But why the system will move? How string will be released because 50 kg is at rest?

Commented by ajfour last updated on 25/Mar/18

only the 5kg blocks shall move.  the tension is obtained for this  little duration until the middle  5kg block comes almost at the level of  pulleys.

$${only}\:{the}\:\mathrm{5}{kg}\:{blocks}\:{shall}\:{move}. \\ $$$${the}\:{tension}\:{is}\:{obtained}\:{for}\:{this} \\ $$$${little}\:{duration}\:{until}\:{the}\:{middle} \\ $$$$\mathrm{5}{kg}\:{block}\:{comes}\:{almost}\:{at}\:{the}\:{level}\:{of} \\ $$$${pulleys}. \\ $$

Commented by Tinkutara last updated on 25/Mar/18

But if 50 kg is at rest how will rope be released because it should be of fixed length?

Commented by ajfour last updated on 25/Mar/18

still there is some scope for middle 5kg block to rise and the other 5kg block to descend.

Commented by Tinkutara last updated on 29/Mar/18

Thank you very much Sir! I got the answer. ��������

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