Ch 2 Lecture - Vectors.pptx - Chapter 2 Force Vectors(Vector Mathematics Dr Rakhsha Nasseripour PHYS 239 Adding Force Vectors • Scalar quantity Has

Ch 2 Lecture - Vectors.pptx - Chapter 2 Force...

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Chapter 2: Force Vectors (Vector Mathematics) Dr. Rakhsha Nasseripour PHYS 239
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Adding Force Vectors
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Scalar quantity Has magnitude, can be 0, positive, or negative number. Vector quantity Has magnitude and direction. Cannot be described by one number.
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Anatomy of a Vector x y q R
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Vector Addition Triangle Rule (or Tip-to-tail method) 1. Connect tail of B to head of A . 2. Resultant R goes from first tail to last head. A B R
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Vector Addition Parallelogram Law 1. Join tails of vectors. 2. Draw line parallel to A from head of B . 3. Draw line parallel to B from head of A . 4. Diagonal of resulting parallelogram is the resultant vector, R . 5. A and B are also called components of R . A B R
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Cosine Rule:
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Sine Rule:
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Example 2-1: The screw eye is subjected to two forces F1 and F2. Determine the magnitude and direction of the resultant force
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Example 2-2: Resolve the horizontal 600-lb force in to components acting along the u and v axes and determine the magnitude of these components.
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Example 2-3: Find a Missing Component The resultant force of two forces is along the +y axis. Calculate the magnitude of Forces A and B and the angle of Force B such that Force B has a minimum magnitude. F 1 = 200 F 2 30° y x 45
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Find a Resultant Force (Vector addition of two forces) Find the resultant force on a pin that has two forces applied to it as shown below.
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