Vector Addition: Parallelogram Method

Slides:

Advertisements

Similar presentations

Physics Chapter 6A Vector Addition: Graphical Method.

Advertisements

Find the period of the function y = 4 sin x

Selected Problems from Chapter o.

Chapter 3, Vectors. Outline Two Dimensional Vectors –Magnitude –Direction Vector Operations –Equality of vectors –Vector addition –Scalar product of two.

Coordinate Systems 3.2Vector and Scalar quantities 3.3Some Properties of Vectors 3.4Components of vectors and Unit vectors.

 To add vectors you place the base of the second vector on the tip of the first vector  You make a path out of the arrows like you’re drawing a treasure.

A jogger runs 145m in a direction 20

Chapter 3 Vectors.

VECTORS VECTOR – ANY QUANTITY THAT IS DEFINED BY A MAGNITUDE (SIZE) AND A DIRECTION.

Chapter 3: Vectors. Vector Notation v = speed v (or v )= velocity.

Trigonometry and Vectors Motion and Forces in Two Dimensions SP1b. Compare and constract scalar and vector quantities.

Week of Physics. Physics Monday, On a sheet of graph paper, in deference to those who prefer it, do the following problems. 1.A hiker.

Adding Vectors on the Same Line When two vectors are in the same direction it is easy to add them. Place them head to tail and simply measure the total.

Chapter 3 Honors Physics

VECTORS. Vectors A person walks 5 meters South, then 6 meters West. How far did he walk?

Vectors a vector measure has both magnitude (size) and direction. The symbol for a vector is a letter with an arrow over it or boldface type V.

The Analytical Method of Finding the Resultant Used to find the resultant when: 1)only two vectors are present. 2) two vectors are perpendicular.

Vectors Vectors in one dimension Vectors in two dimensions

Vectors. A vector is a quantity and direction of a variable, such as; displacement, velocity, acceleration and force. A vector is represented graphically.

Vector and Vector Resolution. Scalar Vector Vectors.

Motion in Two Dimensions. Example What is the displacement of a person who walks 10.0 km (E) and then 5.00 km (N) ? D 1 + D 2 = D R Use a “tip to tail”

Motion in 2 dimensions Vectors vs. Scalars Scalar- a quantity described by magnitude only. –Given by numbers and units only. –Ex. Distance,

Physics – Chapter 3-1 Introduction to Vectors St. Augustine Preparatory School September 4, 2015.

Vectors Chapter 4.

Vector Addition: Parallelogram Method Jerome walks 4 km north, and 8 km east. What is his displacement?

Physics I Unit 4 VECTORS & Motion in TWO Dimensions astr.gsu.edu/hbase/vect.html#vec1 Web Sites.

1 Physics Chapter 5 Objectives: 1) Be able to add two or more vectors graphically (tip-to- tail). 2) Apply the trigonometry of right triangles in order.

Q: What is a vector quantity?

Vectors Questions Vectors vs. Scalars Vectors – Graphical addition

Vectors Some quantities can be described with only a number. These quantities have magnitude (amount) only and are referred to as scalar quantities. Scalar.

Vectors Vector vs Scalar Quantities and Examples

Vector Addition: “Tip-to-Tail”

VECTORS VECTOR – ANY QUANTITY THAT IS DEFINED BY A MAGNITUDE (SIZE) AND A DIRECTION.

Chapter 3: Kinematics in two Dimensions.

Physics – Chapter 3-1 Introduction to Vectors

Vectors - Adding two angle magnitude vectors Contents:

Scalar Vector speed, distance, time, temperature, mass, energy

Vectors Vector: a quantity that has both magnitude (size) and direction Examples: displacement, velocity, acceleration Scalar: a quantity that has no.

Chapter 3 Kinetics in Two or Three Dimensions, Vectors (1 week)

Introduction to Vectors

Pointing the Way Vectors.

2015 EdExcel A Level Physics

Mechanics & Materials 2015 AQA A Level Physics Vectors 9/17/2018.

Physics VECTORS AND PROJECTILE MOTION

Sum and Difference Identities for the Sin Function

Practice ‘c’ p. 94 #’s 1, 2 & 3.

Trigonometry Right-Triangle Pythagorean Theorem sin θ cos θ tan θ

Vectors Vectors in one dimension Vectors in two dimensions

Find The Net Force on These

Scalars Vectors Examples of Scalar Quantities: Length Area Volume Time

Find The Net Force on These

Aim: How do we add vectors graphically?

Pointing the Way Vectors.

Vector & Scalar Quantities

Physics VECTORS AND PROJECTILE MOTION

Unit 1 Our Dynamic Universe Vectors - Revision

Vectors a vector measure has both magnitude (size) and direction.

Vectors A vector is a quantity which has a value (magnitude) and a direction. Examples of vectors include: Displacement Velocity Acceleration Force Weight.

Methods of Finding Vector Sum

All about right triangles

In this section you will:

Introduction to Vectors

Vectors A vector is a quantity which has a value (magnitude) and a direction. Examples of vectors include: Displacement Velocity Acceleration Force Weight.

Presentation transcript:

Vector Addition: Parallelogram Method Jerome walks 4 km north, and 8 km east. What is his displacement?

Graphical: Tip to Tail Method Jerome walks 4 km north, and 8 km east. What is his displacement?

Graphical Vector Addition: Parallelogram Method

Tip to Tail Method

Tip to Tail method D B A C R

Analytical vector addition 2km @ 75° 3km @ 20°

Analytical vector addition 2km @ 75° 3km @ 20°

3km @ 20° h = 3km cosθ = a/h sinθ = o/h therefore a = h cosθ therefore o = h sinθ a = 3 cos20° o = 3 sin20° a = 2.82km o = 1.03km

Analytical vector addition 2km @ 75° 3km @ 20° Vector addition table Vector mag Angle X Comp’t Y Comp’t 1 3 20 2.82 1.03 2 75 Res’t .52 1.93 3.34 2.96

Analytical vector addition Vector addition table Vector mag Angle X Comp’t Y Comp’t 1 3 20 2.82 1.03 2 75 Res’t R2 = x2 + y2 R2 = 3.342 + 2.962 R = 4.46 km .52 1.93 4.46 3.34 2.96

Analytical vector addition Vector addition table Vector mag Angle X Comp’t Y Comp’t 1 3 20 2.82 1.03 2 75 Res’t tanθ = opp/adj θ = tan-1(y/x) θ = tan-1(2.96/3.34) θ = 41.5˚ .52 1.93 4.46 41.5˚ 3.34 2.96