Parallelogram Method Vector Analysis

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Parallelogram Method Vector Analysis

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  1. Parallelogram Method

    Slide 1 - Parallelogram Method

    • Using the Trigonometric Technique
  2. Simple Velocity Vector Problem

    Slide 2 - Simple Velocity Vector Problem

    • Tom can swim 15.0 m/s in still water. He swims straight East across a river that is flowing South at 11.0 m/s. The river is 125m wide.
    • What is his resultant velocity relative to the bank?
    • How long does it take him to get across?
    • How far down the bank does he get out?
  3. Parallelogram Method

    Slide 3 - Parallelogram Method

    • All vectors originate from one point.
    • Sketch component vectors.
    • Complete the parallelogram.
    • Draw the diagonal. This is the resultant.
    • Use Pythagorean theorem to calculate the magnitude of the resultant.
    • Use sin, cos, or tan to determine an angle.
    • Determine the direction of the resultant.
  4. Tom can swim 15.0 m/s in still water.  He swims straight East across a river that is flowing South at 11.0 m/s.  What is his resultant velocity relative to the bank?

    Slide 4 - Tom can swim 15.0 m/s in still water. He swims straight East across a river that is flowing South at 11.0 m/s. What is his resultant velocity relative to the bank?

    • 15 m/s E
    • 11 m/s S
    • 11 m/s S
    • 15 m/s E
    • c2 = a2 + b2
    • c = (15m/s)2+(11m/s)2
    • c = 18.6 m/s
    • tan = opp/adj
    •  = tan-1(11m/s)/(15m/s)
    •  =36.3o
    • Answer:
    • 18.6 m/s @ 36.3o S of E
    • -or-
    • 18.6 m/s @ 126o
  5. The river is 125m wide.How long does it take him to get across?

    Slide 5 - The river is 125m wide.How long does it take him to get across?

    • 15 m/s E
    • 11 m/s S
    • 11 m/s S
    • 15 m/s E
    • v = d/t
    • t = d/v
    • t = 125m / 15m/s
    • t = 8.33s
    • 18.6 m/s
  6. How far down the bank does he get out?

    Slide 6 - How far down the bank does he get out?

    • 15 m/s E
    • 11 m/s S
    • 11 m/s S
    • 15 m/s E
    • v = d/t
    • d = vt
    • d = (11m/s)(8.33s)
    • d = 91.7m
    • 18.6 m/s