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Resultant displacment and magnitude

  1. Sep 12, 2009 #1
    1. The problem statement, all variables and given/known data
    A man pushes a mop across the floor causes the mop to undergo two displacements. The first has a magnitude of 235cm and makes an angle of 131⁰ with the positive x-axis.

    The resultant displacement has a magnitude of 215cm and is directed at an angle of 49⁰ to the positive x-axis.

    Find the magnitude of the second displacement. Answer in units of cm.


    2. Relevant equations

    R=√(Aˆ2+Bˆ2-2AB(cos(Φ)))

    Sinβ=B/R(Sin(Φ))

    3. The attempt at a solution

    Tried using the above equation and not getting the right answer.
    What am i doing wrong?
    I set
    R=215
    A=235
    B=X second displacement
    Φ=49⁰
     
  2. jcsd
  3. Sep 12, 2009 #2
    A+B=R implies B=R-A. Find the x and y components of R and A, then recall how to subtract two vectors when you know their components.
     
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