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Math Help - horizontal forces

  1. #1
    Senior Member furor celtica's Avatar
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    horizontal forces

    the diagram (attached) shows three horizontal forces acting on a mass of 4kg. Given that the mass moves in the direction of the dotted line, show that theta=30 and find the magnitude of the acceleration.

    i usually dont say this, but for once i actually dont know where to start. i have no problem with vertical stuff and weights and all but here i dont get where the weight comes in or even how the forces are interrelated.
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  2. #2
    MHF Contributor
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    Quote Originally Posted by furor celtica View Post
    the diagram (attached) shows three horizontal forces acting on a mass of 4kg. Given that the mass moves in the direction of the dotted line, show that theta=30 and find the magnitude of the acceleration.

    i usually dont say this, but for once i actually dont know where to start. i have no problem with vertical stuff and weights and all but here i dont get where the weight comes in or even how the forces are interrelated.
    hi

    Firstly , resolve the forces into their vertical and horizontal components respectively . Also , taking upwards and right as positive .

    Vertical : 8 sin Θ -4

    horizontal : 8 cos Θ -2

    Since the resultant force (F') is horizontal , the vertical component would be 0 , 8 sin Θ -4 =0 , Θ = 30 degree .

    F'=8 cos 30 -2 =4.93 N

    F=ma , 4.93=4a

    a=1.233 m/s^2
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