1. 35. Resolving Vectors (applications)

2. Resolve vectors into components using trig: Vx = V cos θ Vy = V sin θ
Resolving Vectors
Resolve vectors into components using trig:
Vx = V cos θ Vy = V sin θ
2. Sum x and y components
3. Find magnitude and direction angle of sums

3. An airplane is flying 200mph at 50o N of E
Wind velocity is 50 mph due S.
What is the velocity of the plane? N 50
200 ? W E
VR = mph @ ° N of E S

4. An airplane flies at an engine speed of 100 m/s at 50º W of S into a wind of 30 m/s at 200 E of N. What is the airplane’s resultant velocity?
Answer: ˚ S of W

5. A motor boat traveling 4. 0 m/s, East encounters a current traveling 3
A motor boat traveling 4.0 m/s, East encounters a current traveling 3.0 m/s, North.
What is the resultant velocity of the motor boat?

6. You can do the same thing with forces
A dog owner pulls on a dog’s leash with a force of 5 N at an angle of 40o from the
horizontal. If the dog pulls with a force of 3.5 N straight ahead, what is the resultant
force?

7. One more example!!
4 trucks are pulling on car in a ditch. The first truck is pulling with 40N at 20o, the second is pulling at 33N at 37o, the third is pulling at 25N at 95o, the last is pulling at 60N at 135o. What is the resultant force?