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Pulleys are ideal and string are massles...

Pulleys are ideal and string are massless. The masses of blocks are `m_(1) = 4kg` and `m_(2) = 1kg ` as shown.If all surfaces are smooth then the acceleration of `m_(2) ` in `m//s^(2)` is `( g =10 m//s^(2) ` )

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In the system shown in the adjoining figure, the acceleration of the 1 kg mass is m//s^(2) . (take g = 10 m//s^(2) )

Consider the situation shown in figure .Both the pulleys and the string and light and all the surfaces are smooth. (a) Find the acceleration of 1kg block. (b) Find the tension in the string. (g = 10 m//s^(2)) .

Knowledge Check

  • In fig. both pulleys and the string are massless and all the surfaces are frictionless. Given m_(1)=1kg, m_(2)= 2kg, m_(3)=3kg . The acceleration of m_(1) is

    A
    `(40)/(7) ms^(-2)`
    B
    `(30)/(7) ms^(-2)`
    C
    `(20)/(7) ms^(-2)`
    D
    `(sqrt(17)g)/(7) ms^(-2)`

  • In fig. both pulleys and the string are massless and all the surfaces are frictionless. Given m_(1)=1kg, m_(2)= 2kg, m_(3)=3kg . The acceleration of m_(3) is

    A
    `(40)/(7) ms^(-2)`
    B
    `(30)/(7) ms^(-2)`
    C
    `(20)/(7) ms^(-2)`
    D
    None of these

  • In the figure, pulleys are smooth and strings are massless, m_(1) =1 kg and m_(2)=(1)/(3) kg. To keep m_(3) at rest, mass m_(3) should be

    A
    1 kg
    B
    `(2)/(3)kg`
    C
    `(1)/(4) kg`
    D
    `2 kg`

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