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Two blocks m(1) = 5 g and m(2)= 10 g are...

Two blocks `m_(1)` = 5 g and `m_(2)`= 10 g are hung vertically over a light frictionless pulley as shown in figure. What is the acceleration of the masses when left free ?

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The correct Answer is:
A

Let acceleration of blocks a, `m_(1)` is moving upward and `m_(2)` downward FBD of `m_(1)`.

`T-5g=5a" …(1) "10g-T=10a" …(2)"`
adding equations (1) & (2)
`5g=15a rArr a=(g)/(3)`
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