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m1 q on pulleys watch

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    plz help me with the following q as i have no clue how to answer the q

    a particle A of mass 0.5kg rests on a smooth inclined plane of angle arcsin 3/5. A light inextensible string is attatched to this particle and passes over a smooth pulley at the top of the plane. A particle B of mass mkg hangs freely from the other end of the string. The system is released from rest with the string taut. Particle B desends 1m in 1s. Find the value of m and the tension in the string.

    thanx x
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    (Original post by charna)
    plz help me with the following q as i have no clue how to answer the q

    a particle A of mass 0.5kg rests on a smooth inclined plane of angle arcsin 3/5. A light inextensible string is attatched to this particle and passes over a smooth pulley at the top of the plane. A particle B of mass mkg hangs freely from the other end of the string. The system is released from rest with the string taut. Particle B desends 1m in 1s. Find the value of m and the tension in the string.

    thanx x
    Put this in the Maths Forum!

    Aitch
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    B descends 1m in 1s, so:
    s = ut + 0.5at²
    1 = 0 + 0.5a => a = 2

    F=ma gives:
    Particle B: mg - T = ma => T = mg - 2m (1)
    Particle A: T - 0.5gsin(arcsin 3/5) = 0.5a => T = 0.5a + 0.5gsin(arcsin 3/5) = 1 + (3/10)g (2)

    (1) - (2):
    0 = mg - 2m - 1 - (3/10)g
    2m - mg = m(2-g) = - 1 - (3/10)g
    m =~ 0.505m

    From (2) you can get:
    T =~ 3.94N
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    (Original post by Aitch)
    Put this in the Maths Forum!

    Aitch
    At A, down slope = 0.5g sin t = 2.94
    At A, T - 2.94 = 0.5 a

    Get a = acceleration from given distance, time, u=0 gives a = 2

    At A, T - 2.94 = 0.5 *2
    T = 3.94

    At B
    mg -T = 2m
    mg - 3.94 = 2m
    3.94 = m(g-2)
    m = .505

    Aitch
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    (Original post by charna)
    plz help me with the following q as i have no clue how to answer the q

    a particle A of mass 0.5kg rests on a smooth inclined plane of angle arcsin 3/5. A light inextensible string is attatched to this particle and passes over a smooth pulley at the top of the plane. A particle B of mass mkg hangs freely from the other end of the string. The system is released from rest with the string taut. Particle B desends 1m in 1s. Find the value of m and the tension in the string.

    thanx x
    Because dvs and I were doing this at the same time (dvs a bit faster! :mad: ) you have the luxury of 2 slightly different routes!


    Aitch
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    (Original post by Aitch)
    (dvs a bit faster! :mad: )
    Which was a first!
    • Thread Starter
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    lol u jokas thanx i was stuck on da 1st bit afta dat it is easy i suppose
    i think dvs was abit faster tho
 
 
 
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