Ch 3 Vectors

Vector vs. Scalar State whether each of the following quantities is a vector or a scalar: Position AccelerationVelocity Speed Displacement Distance Force Energy Temperature Volume Vector Scalar Vector Pressure Vector

Adding Vectors Graphically You walk 0 o and then turns to walk o. Finally, you turn to walk 8 m at 200°. What is your displacement? Addition is commutative!

Independence of Vectors Perpendicular vector quantities are independent of each other. For example in projectile motion –V x Velocity in the X-direction –V y Velocity in the Y-direction Are independent of each other.

Components of Vectors Finding the vector magnitude and direction when you know the components. Recall:  is measured from the positive x axis. Caution: Beware of the tangent function. Always consider in which quadrant the vector lies when dealing with the tangent function.

Adding Vectors Analytically Resolve each vector into its horizontal and vertical components Add all of the vertical components together Add all of the horizontal components together Draw a right triangle using the horizontal and vertical resultants

Adding Vectors Analytically MagnitudeAngleX componentY component 4.5N30 o 3.89N2.25N 7N210 o -6.06N-3.5N 6N150 o -5.19N3.0N R x =-7.36NR y =1.7N R=7.55NAngle =-13 o +180 o = 167 o