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Vectors
Scalar and Vector Quantities <ul><li>Scalar quantities </li></ul><ul><li>Has magnitude only  </li></ul><ul><li>(mass, dist...
Resolving Vector <ul><li>Two or more vectors can be added to yield a single  resultant vector, R </li></ul><ul><li>Methods...
Vector Addition (Graphical Method) <ul><li>A vector is represented by an ARROW which defines its  direction  and LENGTH wh...
Sample Problem 1: <ul><li>Two tugboats are towing a ship. Each exerts a force of 60 tons, and the angle between the two to...
Sample Problem 2: <ul><li>In going from one city to another, a car whose driver tends to get lost goes 30 miles north, 50 ...
Seatwork: <ul><li>Find the resultant vector of the following using graphical method. </li></ul><ul><li>A hiker begins a tr...
Questions: <ul><li>Two vectors have unequal magnitudes. Can their sum be zero? Explain. </li></ul><ul><li>Can the magnitud...
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(1) vector graphical method

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(1) vector graphical method

  1. 1. Vectors
  2. 2. Scalar and Vector Quantities <ul><li>Scalar quantities </li></ul><ul><li>Has magnitude only </li></ul><ul><li>(mass, distance, time, temperature) </li></ul><ul><li>Vector quantities </li></ul><ul><li>Has magnitude and direction </li></ul><ul><li>(Force, displacement, velocity and acceleration) </li></ul>
  3. 3. Resolving Vector <ul><li>Two or more vectors can be added to yield a single resultant vector, R </li></ul><ul><li>Methods of resolving vectors: </li></ul><ul><li>1. Graphical Method </li></ul><ul><li>2. Trigonometric Method </li></ul><ul><li>3. Component Method </li></ul>
  4. 4. Vector Addition (Graphical Method) <ul><li>A vector is represented by an ARROW which defines its direction and LENGTH which defines the quantity . </li></ul>
  5. 5. Sample Problem 1: <ul><li>Two tugboats are towing a ship. Each exerts a force of 60 tons, and the angle between the two towropes is 60 o . What force is the resultant force on the ship? </li></ul>
  6. 6. Sample Problem 2: <ul><li>In going from one city to another, a car whose driver tends to get lost goes 30 miles north, 50 miles west and 20 miles southeast. Approximately how far apart are the cities? </li></ul>
  7. 7. Seatwork: <ul><li>Find the resultant vector of the following using graphical method. </li></ul><ul><li>A hiker begins a trip by first walking 25.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 40.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger’s tower. Determine resultant displacement of the trip. </li></ul><ul><li>A commuter airplane takes the route. First, it flies from the origin of the coordinate system to city A, located 175 km in a direction 30.0° north of east. Next, it flies 153 km 20.0° west of north to city B. Finally, it flies 195 km due west to city C. Find the location of city C relative to the origin. </li></ul>
  8. 8. Questions: <ul><li>Two vectors have unequal magnitudes. Can their sum be zero? Explain. </li></ul><ul><li>Can the magnitude of a particle’s displacement be greater than the distance traveled? Explain. </li></ul><ul><li>If the component of vector A along the direction of vector B is zero, what can you conclude about these two vectors? </li></ul><ul><li>Can the magnitude of a vector have negative value? Explain. </li></ul><ul><li>Is it possible to add a vector quantity to a scalar quantity? Explain. </li></ul>

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