M2 - Centre of Mass

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  1. Kasc's Avatar
    • Benevolent Member
    • Posts: 617
    M2 - Centre of Mass
    http://www.ocr.org.uk/download/pp_07..._jan_l_gce.pdf

    I'm stuck on Q6 i)

    I THOUGHT I was good at this but I think I'm just making a simple mistake and can't see where; working:

    Midpoint of CD (9,9); center of mass of triangle is two thirds the way up the line E to midpoint of CD.

    (0,3) to (9,9)... centre of mass = (6,7)

    area = 1/2 x 12 x 9 = 54

    Centre of mass of rectangle (1.5,4.5) with area 27.

    27 * 1.5 + 54 * 6 = 81x, x = 4.5 (wrong)
    27 * 4.5 + 54 * 7 = 81y, y = 37/6 (wrong)

    ?
  2. Kasc's Avatar
    • Benevolent Member
    • Posts: 617
    Re: M2 - Centre of Mass
    Heh, should be (3,0) not (0,3), doh!
  3. ghostwalker's Avatar
    • Outcast of Imrryr
    • Location: CA13
    Re: M2 - Centre of Mass
    (Original post by Kasc)
    (0,3) to (9,9)... centre of mass = (6,7)

    area = 1/2 x 12 x 9 = 54

    Centre of mass of rectangle (1.5,4.5) with area 27.

    27 * 1.5 + 54 * 6 = 81x, x = 4.5 (wrong)
    27 * 4.5 + 54 * 7 = 81y, y = 37/6 (wrong)

    ?
    The centre of mass of your triangle is at (7,6), not (6,7)
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