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In the above example, if two blocks hav...

In the above example, if two blocks have masses `1kg` and `2kg` respectively then find their acceleration and tension in different string.

Text Solution

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Pully `3` and `4` are masses. Hence net force on them should be zero . Therefore we take T tension in the shortest string, then tension in other two string will be `2T` and `4T` .

further , if a is the acceleration of `1` in direction , then from the constraint `a_(2)=-7a_(1)`, acceleration of `2` will be `7a` downward.
Writing the equation , `F _("net") = ma` for the two blocks we have
`4T + 2T + T - 10 = 1 xx a`
or `7T - 10 = a` ...(i)
`20 - T = 2 xx (7a)`
or `20 - T= 14a` ...(ii)
Solving three two equation we get,
`T - 1.62N`
and `a = 1.31m//s^(2)`
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Knowledge Check

  • In the abjecent figure, masses of A,B and C are 1kg ,3kg and 2kg respectivelly.Find (a) the acceleration of the system and (b) tension in the strings. Neglect friction. (g=10m//s^(2))

    A
    `2.1m//s^(2)` , `T1= 4.56 N`
    B
    `4.1m//s^(2)` , `T1= 2.56 N`
    C
    `4.1m//s^(2)` , `T1= 4.56 N`
    D
    `4.1m//s^(2)` , `T1= 14.56 N`

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