Lesson 3

• What is the size of the force vector mentioned?

  316 N
• What is the direction of the force vector?

  35 degrees N of E
• How do you find the vertical component of a force vector?

  Use $F_y =$$F \sin \theta$
• What is the vertical component of the force vector?

  $181 N$
• How do you find the horizontal component of a force vector?

  Use $F_x =$$F \cos \theta$
• What is the horizontal component of the force vector?

  $259 N$
• What are the two methods to handle multiple forces?

  1. Draw them to scale
  2. Resolve them into vertical and horizontal components
• What trigonometric relationships are used to resolve vectors?

  SOH CAH TOA
• What is the angle used to resolve the force vector?

  35 degrees
• What does the resultant force represent in vector resolution?

  The combined effect of all forces
• What is the formula for the vertical component of a force?

  $F_y =$$F \sin \theta$
• What is the formula for the horizontal component of a force?

  $F_x =$$F \cos \theta$
• How can you visualize the resultant force from components?

  By drawing a triangle with components
• What is the significance of checking the scale in vector diagrams?

  To convert back to the needed units
• What is the common mistake in scale vector diagrams?

  Incorrectly drawing the resultant line
• What does the length of the arrow in a vector diagram represent?

  The size of the vector
• What do angles in vector diagrams determine?

  The direction of the vectors
• What is the purpose of a protractor in vector diagrams?

  To measure angles accurately
• How does the resultant force relate to the components?

  It is the hypotenuse of the triangle formed
• What is the relationship between the vertical and horizontal components?

  They form a right triangle with the resultant
• What is the formula for finding the angle using tangent?

  $\theta =$$\tan^{-1}(\frac{F_y}{F_x})$
• What does resolving vectors help to analyze?

  The effects of forces in different directions
• What is the significance of the angle in vector resolution?

  It determines the components' values
• How can you find the resultant force from multiple vectors?

  By resolving and combining their components
• What is the maximum distance shown in the graph?

  120
• What is the minimum distance shown in the graph?

  40
• What is the value of the first point on the graph?

  A
• What is the value of the second point on the graph?

  B
• What is the value of the third point on the graph?

  D
• What is the value of the fourth point on the graph?

  C
• What is the value of the fifth point on the graph?


  E
• What is the value of the sixth point on the graph?

  F
• What is the value of the seventh point on the graph?

  G
• What does a stationary point on a distance-time graph indicate?

  No movement is occurring
• What does a constant positive velocity indicate on a distance-time graph?

  Steady increase in distance over time
• What does a constant negative velocity indicate on a distance-time graph?

  Steady decrease in distance over time
• What does constant acceleration indicate on a distance-time graph?

  Increasing speed over time
• What does constant deceleration indicate on a distance-time graph?

  Decreasing speed over time
• What are the equations of motion for constant acceleration?

  1. \(v = u + at\)
  2. \(s = \frac{1}{2}(u+v)t\)
  3. \(v^2 = u^2 + 2as\)
  4. \(s = ut + \frac{1}{2}at^2\)
  5. \(s = vt - \frac{1}{2}at^2\)
• What is the equation for final velocity in terms of initial velocity and acceleration?


  \(v = u + at\)