Acceleration in one dimension
Acceleration, Constant Acceleration and Free Fall
The most interesting forms of motion involve a change in velocity. Change in
velocity is called acceleration. In this lecture, we will involve ourselves wit
Time: 2 hours
Total Marks: 101
Final Test Score: _ 101 100 = _%
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And Static Equilibrium
We have been building up angular attributes to describe angular motion, very
similar to the linear attributes which described linear motion. We need an
angular equivalent to the force.
Angular Speed and Acceleration
Constant Angular Acceleration
Although weve covered a lot of ground so far, and have described motion and
forces in 2 (or 3) dimensions, weve left out an important class of motionnamely angu
Friction and Drag
A necessary complication
Its all well and good to make predictions regarding motion on paper. Physics,
however, is not simply an exercise reciting laws, it is used to predict real world
events. In order to effectively
Newtons Third Law
Weve already learned from Newton that
- Moving things keeps moving, stationary thing keep stationary unless an
unbalanced force acts on them.
- We can compute how much Force is required to accelerate an
Newtons Second Law
Relationship between force and acceleration
Wed like now to quantify how much force is required to cause a desired change
in acceleration. This will greatly open up our ability to describe real-world
Descriptions of physics do not depend on if the observer is moving with respect
to anything in the system.
Sometimes wed like to know the motion of an object with respect to some
other view point rather than the one giv
Motion in Two Dimensions
Today we will use the framework we developed for 2D motion will solve the
widely applicable problem of projectile motion.
For now, we are still dealing with the case of constant acceleration.
The Laws of Motion
Forces, Newtons First Law
So far, we have only studied motion under constant acceleration, and can in
practice only describe some very specific case such as projectile motion.
But what causes something to move or to
A bit of 1D motion thrown in.
Necessary Vector Math Review
1D Motion- revisited.
2 = 2 + 2
Recall those 3 important equations we developed for 1D motion:
We can take the integral of both sides with respect to time.
Review so far
We all want to do well on the test.
For 1D motion, we omit vector signs and let the + or sign define the direction.
Note that it is different than distance. Distance takes int
And Converting from Linear to Angular quantities
This will help us quantify the acceleration that occurs when the speed remains
constant and only the direction changes.
Relationship between Linear and Ang
Momentum and Impulse
and Conservation of Momentum
We need to be able to describe and predict what will happen in the case of
collisions. In order to do that, we need to develop some new concepts.
Momentum is a measure of
The Conservation of Momentum provide one of the cornerstones of our
understand of how the world works.
Collisions, and how to minimize their impact, is an important part of safety
design. The more we understand the
Rotational Kinetic Energy
Energy can be stored in rotational motion, and recovered at a later time.
Rotational Kinetic Energy
recall that Kinetic Energy, =
If we want to find the angular version of th
and Work Done by a Varying Force
Work done by a Spring
Recall that Work done against Gravity, for
example, was equal to the change in
Gravitational Potential Energy. In this instance,
we are defining the Elastic Potential Energy
based on insp
Spring Potential Energy, Conservation
Energy stored in springs has the ability to do work. This is the basis for archery,
but also for athletic shoes, shock absorbers in cars, and it has been deomstrated
that some tendons hav
Work and Energy
Is work done in the following situations: (Hint: identify the , , and )
Examples of Work
= [ ],
= , =
- A person drags a sled though the snow. Is work done by the person on
Centre of Gravity
and Moment of Inertia
Not always are we going to be dealing with a situation where we can treat the
object as a point particle, or ignore completely the shape of the object. This is
more true in rotational motion that
Now that we have described both linear and angular motion, perhaps youd like
to know how difficult or easy it is cause those motions.
What work is done to accelerate or angularly accelerate an object?
The concept of work will le
Motion in one dimension
Displacement and Velocity
Peer-Assisted Study Sessions (PASS) are facilitated study groups: voluntary,
regularly scheduled, informal review study sessions in which students compare
notes, discuss readings, develop orga
Welcome to PHYS 1420.06
Physics with Applications to Life Sciences
3 Lectures per week, MWF 1:30pm 2:20pm ACW 109
1 Tutorial per week, T 1:30pm- 2:20pm CLH-L
4 Lab Sessions in Fall Term (6 in winter) 3 hours e