PHY221 Ch2: 2D Kinematics

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

2. Addition and multiplication3. Derived vectors: velocity and acceleration 4. Examples: projectile motion, monkey etc…

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Vectors: Components

Coordinates of P in 3D Cartesian Coordinates

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

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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:

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Vectors: Addition Graphically

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

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Application: Vector displacement in 2D

Application: Vector acceleration from vector Vel.

Application: Vector velocity from displacement

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Projectile Motion in 2 D: General equations

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Projectile Motion in 2 D: Problem example-Range

x0

y

h

l

qMonkeyqShot

You are a vet trying to shoot (from the ground) a tranquilizer dart into a monkey hanging (at height h from a branch in a distant tree (distance l from you). 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: derive qShot in terms of qMonkey

Ch 2: Assignments

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

Ch 2: Assignments