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Problem set: vectors

  1. Dec 5, 2003 #1
    could someone please help me with some of these probelms. i needed really soon, thanx alot

    1. Let a=(1,1) and b=(4,2). Verify that
    |a-(projection of a onto b)| <= |a-kb|, for all k any R.

    2. ABCDE is a flexible string with AB=BC=CD=DE and AE horizontal. Masses are attached each exerting forces as shown. Find W.
    -------A_____________________E
    --------\70°-------------70°/
    ---------\-----------------/
    ----------\---------------/
    ----------B\_____________/D
    and
    -------------B_________D
    -------------|\-------/|
    ---------W?--|-\-----/-| W?[down]
    -------[down]|--\---/--|
    -------------|---\-/---|
    ------------------C and <c=120°
    ------------------|
    ------------------|
    -----------------800 N[down}

    the length of BD on both diagrams is same except i couldn't make it much clear, u should get the idea by the angles between them.

    3. Three masses of 3 kg, 4kg, and 5kg are attached to strings as shown in the diagram. the weights are released and the system reaches equilibrium. Describe final position of the weights.

    -----------------o
    ----------------/|
    ---o----------/--|
    ---|\-------/----|
    ---|--\---/------|
    ---|----|--------|
    ---3----4--------5

    consider the o's to be the two pulleys or something, and the lines are the strings.
     
    Last edited: Dec 5, 2003
  2. jcsd
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