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Math Help - Tension Question

  1. #1
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    Angry Tension Question

    A crane is lifting a crate mass 600kg vertically.
    i)If the crate is travelling at a constant speed, find the tension in the lifting cable.
    ii)If instead the crate is accelerating upwards at 0.02m/s, find the tension in the lifting cable.

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  2. #2
    Member Danshader's Avatar
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    part i)

    when the mass is moving a t a constant speed the acceleration of the mass is 0 ms^-1.

    Using newton's second law of motion:

    resultant force, F = ma

    F = T - mg
    where T = tension in the cable

    T - mg = ma →(1)
    but a = 0

    T - mg = 0
    T = mg
    T = 600(9.81)
    T = 5886 N

    part ii)
    given now that the mass accelerates upwards with an acceleration of 0.02 ms^-1. To achieve this the tension in the cable must be larger than the weight of the mass

    from (1)
    T - mg = ma
    T = m(a+g)
    T = 600(0.02+9.81)
    T = 5898 N
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