Note 7 Free Fall
When gravity is the only acceleration acting on an object, the resulting vertical motion is called
free fall. The magnitude of the acceleration is 9.8 m/s2. This direction of the acceleration is
downward toward the ground. The sign of thi
Note 20 Connected Objects
Connected objects is a special class of multiple object situations where the objects move together
usually by way of a contact force or tension between the objects.
Example: Stationary Connected Objects
What is the normal force o
Note 1 Preliminaries
Define Theory vs Law vs Models
Theory is a set of related ideas.
The general theory of relativity is a set of ideas that describes
the force of gravity as curvatures in space-time.
These include gravity as acceleration,
Note 5 Motion Graphs
One skill that you will have to have is to take a description of motion and convert it into useful
information. One way to express the motion variables is to graph them. Here are several
examples of an object traveling in one dimensio
Note 15 Force
Force is a thing that is best defined by what it does rather than what it is. What it does is
governed by Newtons laws of motion. Specifically, Newtons second law of motion is the
foundational principle of this course. It tells us how force
Note 16 Newtons Third Law
Newtons second law is about the forces and the acceleration of an object. Newtons third law
connects the forces between objects.
Experimenting with Newtons Third Law
Lets say I have two identical, frictionless carts of the same m
Note 17 Ramps
The ramp is a simple machine that allows you to move an object upward without having to apply
the same force as the weight of the object.
Box on a Ramp
We placed a block on a ramp of angle with no friction on its surface (keeping it simple).
Note 12 Projectile Motion
Here are some example of projectile motion.
I thrown a rock with a speed of 20 m/s directed at 50 above the horizon.
a. How much time does it take to arrives back at the same height?
b. How far does it travel horizontally
1. Ordinary & Pyres glass
Ordinary glass dishes will usually break because of stress that build up as the glass
expands when heated. The expansion coefficient for Pyrex glass is much lower than that
of ordinary glass. Thus, the Pyrex dish will expand much
Note 11 Two Dimensional Motion
Motion in multiple dimensions is dealt with as a simple extension of motion in one dimension. The
principle that allows us to do this is the vector nature of motion. Motion in one direction does not
affect the motion in the
Note 8 One Acceleration Motion
Here are some examples of motion in one-dimension for one object that has only one
acceleration. Again, we will deal only with accelerations that are constant.
A car accelerates from rest to 30 m/s in 5
Note 9 Two Acceleration Motion
Now we look at cases where an object is governed by two constant accelerations.
Example 1: Solving in Order
A rocket is launched with an acceleration of 25 m/s2 upward. At 5 seconds after launch, the
engine of the rocket shu
Note 2 Force and Motion
This class is all about the relationship between force and motion.
Drop an object from a height.
Force makes objects move. This is also how we define force operationally.
How does the object m
Note 16 Normal Force
The normal force is the force that is applied by a surface that is also perpendicular to that surface.
Example 1: Just a Box
A box of mass m is at rest on a table. What is the normal force on the box due to the table?
Here are the dia
Note 10 Two Object Motion
There are times when more than one object interact with each other.
Example 1: Shifted Position
Two cars are 192 meters apart at one moment in time. Car A is at rest but car B is already
traveling at 8 m/s toward car A. At this m
Note 15 Weight
Masses produce an attractive force between themselves. This force is gravity. The amount of
gravitational force produced by the Earth that is applied to objects is called the weight of the
object. The weight is due entirely to gravity. Mass
Note 3 Vectors
Vectors are representations of physical measurements that have spacial directionality. These
include quantities such as position, velocity, acceleration, and force. A vector is represented by a
arrow pointing in the direction that the measu
Note 6 Equations of Motion
Beyond the graphical way of looking at motion, we can model it using equations. These equations
come from the definitions we have been using.
The average acceleration is this. This is our first basic definit
Note 4 Motion Variables
Mechanics is the study of force and motion. We will look at the motion part first. Motion is
described using the following variables, position, velocity, acceleration, and, implicitly, time.
The position tells you where an
Note 18 Friction
Friction is a force that opposes motion parallel to a surface. There are two types of friction, static
and kinetic. Static friction occurs between two surfaces that are not moving relative to each other
while kinetic friction occurs when
1. Moment of inertia
The moment of inertia is the resistance body to change in its rotation rate.
2. Difference between mass and moment of inertia
Mass is constant, and depends on the quantity of matter. Moment of inertia depends on quantity of