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Two masses 8 kg and 12 kg are connected...

Two masses 8 kg and 12 kg are connected at the two ends of a light in extensible string that goes over a frictionless pulley . Find the acceleration of the masses , and the tension in the string when the masses are released.

Text Solution

Verified by Experts

Here `m_(2) = 8 kg , m_(1) = 12 kg `
as a ` = ((m_(1)-m_(2))g)/(m_(1)+m_(2))`
` a = ((12- 8)9.8)/(12+8) = (39.2)/20 `
` = 1.96 m//s^(2)`
Again
`T = (2m_(1)m_(2)g)/(m_(1)+m_(2)) = (2xx 12 xx 8 xx 9.8)/((12+8)) = 94.1 N `
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Knowledge Check

  • Two bodies of masses 1 kg and 2 kg are connected by a very light string passed over a clamped light smooth pulley. If the system is released from rest, find the acceleration of the two masses and the tension in the string

    A
    3.27 `m//s^(2)` , 13 N
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    C
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    D
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  • Two bodies of masses 1 kg and 2 kg are connected by a very light string passed over a clamped light smooth pulley. If the system is released from rest, find the acceleration of the two masses and the tension in the string

    A
    `3.27 m//s^(2), 13 N`
    B
    `4.5 m//s^(2), 26 N`
    C
    `1.27 m//s^(2), 13 N`
    D
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  • Two bodies of masses 1 kg and 2 kg are connected by a very light string passed over a clamped light smooth pulley. If the system is released from rest, find the acceleration of the two masses and the tension in the string

    A
    `3.27 m//s^(2), 13 N`
    B
    `4.5 m//s^(2), 13 N`
    C
    `1.27 m//s^(2), 13 N`
    D
    `0.327 m//s^(2) , 13 N`
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