PHY221 Ch2: 2D Kinematics 1.2D and displacement vector position, displacement (geometrically and components) 2.Addition and multiplcation 3.Derived vectors:

PHY221 Ch2: 2D Kinematics

1. 2D and displacement vector• position, • displacement (geometrically and components)

2. Addition and multiplcation3. Derived vectors: velocity and acceleration 4. Examples:projectile motion, monkey etc…

PHY221 Ch2: 2D Kinematics1.

Mai

n Po

ints

Vectors: Components

Coordinates of P in 3D Cartesian Coordinates

Components of displacement from O to P in 3D in Cartesian Coordinates

PHY221 Ch2: 2D Kinematics1.

Mai

n Po

ints

Vectors: Components and magnitude.Components of displacement vector

All the vectors we will be dealing with, are built from the displacement vector using the laws of vector addition and multiplication defined on the next slide.

The magnitude of the displacement is defined by:

PHY221 Ch2: 2D Kinematics1.

Mai

n Po

ints

Vectors: Addition Graphically

PHY221 Ch2: 2D Kinematics1.

Mai

n Po

ints

Vectors: Multiplication by a number (scalar) in 2D Graphically

PHY221 Ch2: 2D Kinematics1.

Mai

n Po

ints

Application: Vector displacement in 2D

Application: Vector acceleration from vector Vel.

Application: Vector velocity from displacement

PHY221 Ch2: 2D Kinematics1.

Mai

n Po

ints

Projectile Motion in 2 D: General equations

PHY221 Ch2: 2D Kinematics1.

Mai

n Po

ints

Projectile Motion in 2 D: Problem example-Range

PHY221 Ch2: 2D KinematicsYou are a vet trying to shoot a tranquilizer dart into a monkey hanging from a branch in a distant tree. You know that the monkey is very nervous, and will let go of the branch and start to fall as soon as your gun goes off. In order to hit the monkey with the dart, where should you point the gun before shooting?

A) Right at the monkeyB) Below the monkeyC) Above the monkey

PHY221 Ch2: 2D Kinematics

A flatbed railroad car is moving along a track at constant velocity. A passenger at the center of the car throws a ball straight up. Neglecting air resistance, where will the ball land?

A) Forward of the center of the carB) At the center of the carC) Backward of the center of the car

vtrain car

Ch 2: Assignments

Ch 2: Assignments