physicsvector

# Head to Tail Vector Analysis

Created 3 years ago

Duration 0:06:26
67
Slide Content
Tags: physics vector

2. ### Slide 2 - Vector

• Arrow drawn to represent a vector quantity (magnitude & direction)
• Length indicates magnitude
• Arrow points to indicate direction

• 0o or 360o
• 45o
• 90o
• 135o
• 180o
• 225o
• 270o
• 315o
4. ### Slide 4 - Technique 1: Drawn-To-Scale

• Decide upon a scale that will fit the page.
• Draw each vector the length that indicates its magnitude.
• Draw it pointing in the correct direction.
• The “Resultant” is drawn from the head of the first vector straight to the tail of the last vector.
• The magnitude of the answer is determined by measuring the Resultant and using the scale.
• The direction of the answer can be determined by using a protractor.
5. ### Slide 5 - Simple Displacement Problem

• Sally leaves her house and walks 3 blocks East, then she walks 4 blocks South. What is her displacement from home?
• N
• scale:
• 1 block = 1 cm
• 5 blocks 53o South of East
• -or-
• 5 blocks @ 143o
• 53o
• 3 cm
• 4 cm
• 5 cm
6. ### Slide 6 - Technique 1: Trigonometry

• Sketch vectors from problem.
• Use Pythagorean theorem to find magnitude of resultant.
• Use sin, cos, or tan to find angle.
• Refer to compass rose to determine direction.
7. ### Slide 7 - Simple Displacement Problem

• Sally leaves her house and walks 3 blocks East, then she walks 4 blocks South. What is her displacement from home?
• c2 = a2 + b2
• c = (3 blocks)2 + (4 blocks)2
• c = 5 blocks
• 53o
• 3 blocks
• 4 blocks
• 5 blocks