Vector Applications TS: Develop a capacity for working within ambiguity

1
Vector ApplicationsTS Develop a capacity for
working within ambiguity

• Warm Up
• Find the component form of the vector that
  represents the velocity of an airplane descending
  at a speed of 100mph at a directional angle of
  210 from the horizon.

2

• Three forces with magnitudes of 70lbs, 40lbs and
  60lbs act on an object at angles of -30, 45,
  and 135 respectively, with the positive x-axis.
  Find the direction and magnitude of the resultant
  of these forces.

3

• The cranes shown in the figure are lifting an
  object that weighs 20,240lbs. Find the tension
  in the cable of each crane.

44.5
24.3
4

• A commercial jet is flying from Miami to Seattle.
  The jets velocity with respect to the air is
  580mph, and its bearing is 332. The wind, at
  the altitude of the plane, is blowing from due
  southwest with a velocity of 60mph.
• Draw a figure to represent the problem.
• Write the velocity of the wind as a vector in
  component form.
• Write the velocity of the jet relative to the air
  as vector in component form.

5

• A commercial jet is flying from Miami to Seattle.
  The jets velocity with respect to the air is
  580mph, and its bearing is 332. The wind, at
  the altitude of the plane, is blowing from due
  southwest with a velocity of 60mph.
• What is the speed of the jet with respect to the
  ground (with respect to the ground means include
  the wind)?
• What is the true bearing of the jet (true meaning
  including the wind)?

6

• YOU TRY
• Three forces with magnitudes of 75lbs, 100lbs,
  and 125lbs act on an object at angles of 30,
  45, and 120 respectively, with the positive
  x-axis. Find the direction angle and magnitude
  of the resultant of these forces.
• Ans magnitude is 288.494lbs
• direction angle is 71.325