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    Hi, im really stuck on this maths question, any help would be appriceated, the question is:
    Two particles are connected by a light inextensible string which passes over a fixed smooth pulley. The particles are released from rest with the string on either side of the pulley taut and vertical. Find, in terms of g, the acceleration of the particles and the tension in the string if the masses of the particles are xkg and ykg, where x<y.
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    Consider the forces on each particle and use F=ma to link the forces to acceleration of each particle. This should form 2 equations that you can solve simultaneously.
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    (Original post by frostyfeet)
    Hi, im really stuck on this maths question, any help would be appriceated, the question is:
    Two particles are connected by a light inextensible string which passes over a fixed smooth pulley. The particles are released from rest with the string on either side of the pulley taut and vertical. Find, in terms of g, the acceleration of the particles and the tension in the string if the masses of the particles are xkg and ykg, where x<y.
    http://www.examsolutions.net/maths-r.../M1/module.php

    Watch all the dynamics section.
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    Hi, ive tried doing this and have
    T-xg=xa
    yg-T=ya

    But the simplest solutions i can get our T=2g^2+2xy^-1g^2+g
    a=-2xg^2-2yg^2
    Which just dont seem right.
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    (Original post by frostyfeet)
    Hi, ive tried doing this and have
    T-xg=xa
    yg-T=ya

    But the simplest solutions i can get our T=2g^2+2xy^-1g^2+g
    a=-2xg^2-2yg^2
    Which just dont seem right.
    Your equations of motion are correct, however, I'm getting \displaystyle \vec{a} = \left( \frac{y-x}{x+y}\right)g. I don't think the answers will end up being very pretty since both x and y are unknown constants.
 
 
 
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