Simple Harmonic Motion

Simple Harmonic Motion

Lecture 3: Vectors Definition Graphical addition and subtraction of vectors Unit vector notation Vector components, magnitude and direction

Addition and subtraction of vectors in unit vector notation Vectors A vector is a quantity that has size (magnitude) and direction. It can be symbolized by an arrow.

Length of the arrow represents magnitude Notation convention: denotes vector of magnitude *Sometimes bold-face type also indicates a vector hard to do in

handwriting Vector addition - graphically Vector subtraction - graphically

Unit vectors Unit vector notation

Vector components Vector components Unit vector notation

Magnitude and direction Example A displacement of 5 km is directed = 53 East of

South. What is the displacement vector in unit-vector notation? Example

Example Vector addition in components )

Vector subtraction in components =

) Example

Express the vectors and in unit vector notation in terms of and . Example with tilted coordinate system

N y P

x W

N P

y x

W

Recently Viewed Presentations

  • Individual Differences in Infant Attachment Security

    Individual Differences in Infant Attachment Security

    Control ("Demandingness") * * * * * * * * * * Authoritarian Low acceptance/responsiveness High control Power-assertive discipline Ex: "Do it because I say so" More likely to use physical punishment Authoritative High acceptance/responsiveness Moderate control Set clear standards...
  • The Chisholm Trail

    The Chisholm Trail

    To the west the old railway is to be reinstated with a species rich grassland calcareous mix. A hedgerow will be planted both sides of the track. There is a large area of existing scrub and trees maintained. With any...
  • Plantation Lakes Homeowners Association

    Plantation Lakes Homeowners Association

    Prior to joining Plantation Lakes, Brian spent over 9 years as the First Assistant Gold Professional at the Polo Club of Boca Raton in South Florida. While at the Polo Club he attained Level 3 Titleist Performance Institute Golf Fitness...
  • Canadian Chemical Engineering Conference 2008 October 21st, 2008

    Canadian Chemical Engineering Conference 2008 October 21st, 2008

    Canadian Chemical Engineering Conference 2008 October 21st, 2008 The Fundamentals of the OH&S Act and Managing Occupational Health and Safety Vic Pakalnis, P.Eng., M.Eng., MBA
  • Distress tolerance

    Distress tolerance

    While breathing into your belly, deeply tense your body muscles. Notice the tension in your body. While breathing out, say the word "Relax" in your mind. Let go of the tension. Notice the difference in your body.
  • IDA - Weebly

    IDA - Weebly

    EOC. INPUT. PRESURRE TRANCDUCER. CLOCK. 7414. CIRCUIT. MICROCONTROLLER. ... These are devices in which the patient is able to initiate a dose of the infusion solution for the relief of pain. ... then a 20:1 dilution is recommended for the...
  • American Indians Unit - Brooke Anderson

    American Indians Unit - Brooke Anderson

    What were Hopi Indians wear? Did the Hopi Indians wear feathered headdresses and face paint? Originally, Hopi men didn't wear much clothing-- only breechcloths or short kilts (men's skirts). Hopi women wore knee-length cotton dresses called mantas. A manta fastened...
  • Title Slide - Center for Innovation in Social Work & Health

    Title Slide - Center for Innovation in Social Work & Health

    The Need for Innovation: A Role for Public Health Social Work . Need for Innovation: a hot term and topic of today's higher education climate! Higher education is consistently critiqued as being "behind the times" in terms of innovation and...