1. Mechanics
Mechanics is a branch of physics
concerned with the behavior of physical
bodies when subjected to forces or
displacements also it deals with matter
and investigates energy.
Mechanics is divided into three branches:
1- Statics
2- Kinematics
3- Dynamics
In this slide we will discuss Dynamics.
1/21/2014 1
IB Physics (IC NL)
2. Dynamics
The branch of mechanics that is
concerned with the effects of forces on
the motion of a body or system of
bodies, especially of forces that do not
originate within the system itself. That
is the external forces and not the
internal ones.
1/21/2014 2
IB Physics (IC NL)
3. Internal forces
These forces generate inside the body due
to the interaction between the particles,
atoms, molecules or even inside the
nucleus.
Forces that originate within the object
itself
They cannot change the object’s velocity
1/21/2014 3
IB Physics (IC NL)
4. Types of forces
In nature we have four fundamental
forces and all the other forces that
you know undergo these four which
are in order of strength:
1/21/2014 4
IB Physics (IC NL)
5. Strong force
The Strong Force - This force binds
neutrons and protons together in the
cores of atoms and is a short range
force.
1/21/2014 5
IB Physics (IC NL)
6. Electromagnetic force
Electromagnetic - This acts
between electrically charged
particles. Electricity, magnetism, and
light are all produced by this force
and it has an infinite range.
1/21/2014 6
IB Physics (IC NL)
7. Weak forces
1/21/2014 7
Weak Force - This causes Beta decay (the
conversion of a neutron to a proton, an
electron and an antineutrino) and various
particles (the "strange" ones) are formed by
strong interactions but decay via weak
interactions. Like the strong force, the weak
force is also short range.
IB Physics (IC NL)
8. Gravitational force
Gravitational - This force acts
between all masses in the universe
and it has infinite range.
1/21/2014 8
IB Physics (IC NL)
10. Unit two: forces
In our IB, forces are to be studied from
a basic part of view and concerned with
external forces; later we might go to
forces related to the four preceding
forces.
External force
Any force that results from the
interaction between the object and its
environment
1/21/2014 10
IB Physics (IC NL)
11. External Forces
Def: force is a mechanical action capable of:
i. moving a body initially at rest.
ii. Changing the motion of a body.
iii. Deforming a body.
Usually think of a force as a push or pull
Vector quantity
May be a contact force or a field force
Contact forces result from physical contact between two
objects
Field forces act between disconnected objects
Also called “action at a distance”
1/21/2014 11
IB Physics (IC NL)
13. Newton’s First Law
If a body is at rest it remains at
rest, if it is moving with uniform
motion it keeps its uniform motion
unless acted upon by an external
force.
The net force is defined as the vector
sum of all the external forces exerted
on the object
1/21/2014 13
IB Physics (IC NL)
14. Equilibrium
An object either at rest or moving
with a constant velocity is said to
be in equilibrium
The net force acting on the object
is zero (since the acceleration is
zero)
1/21/2014 14
IB Physics (IC NL)
16. Inertia
Is the tendency of an object to
resist any attempt to change its
state of motion.
An object's inertia is directly
proportional to its mass; the
heavier an object is, the more
inertia it has. Hence, a body's mass
measures its inertia.
1/21/2014 16
IB Physics (IC NL)
17. Mass
Is the quantity of matter found in a
body.
Scalar quantity
SI unit is kg
1/21/2014 17
IB Physics (IC NL)
18. Seat Belt Device
Illustration of how one
type of seat belt
operates involving the
inertia of a block
It protects you when
inertia keeps you
moving if the driver
suddenly applies the
brakes.
1/21/2014 18
IB Physics (IC NL)
19. Newton’s Second Law
If a body is subjected to a force this body
accelerates. The force and the acceleration
are directly proportional and in the same
direction.
F and a are both vectors
1/21/2014 19
IB Physics (IC NL)
20. Units of Force
1/21/2014 20
IB Physics (IC NL)
SI unit of force is the Newton (N)
1 N = 1 kg.m.s-2
21. Sir Isaac Newton
1642 – 1727
Formulated basic
concepts and laws
of mechanics
Universal
Gravitation
Calculus
Light and optics
1/21/2014 21
IB Physics (IC NL)
22. Horse and Barge
The barge mass is
2.00X103 kg
1 = 30.0o
2 = 45.0o
Values of the forces F1
and F2 are each 600 N
Find the x and y
resultant forces and
associated
accelerations
1/21/2014 22
IB Physics (IC NL)
23. Gravitational Force
Mutual force of
attraction between
any two objects
Expressed by
Newton’s Law of
Universal Gravitation:
2
2
1
g
r
m
m
G
F
1/21/2014 23
IB Physics (IC NL)
G = 6.67 x 10-11 SI
24. Weight
The magnitude of the gravitational
force acting on an object of mass m
near the Earth’s surface is called the
weight w of the object
w = m g is a special case of Newton’s
Second Law
g is the acceleration due to gravity or
gravitational field strength.
g can also be found from the Law of
Universal Gravitation
1/21/2014 24
IB Physics (IC NL)
25. More about weight
Weight is not an inherent property of
an object
mass is an inherent property or mass is
invariant.
Weight depends upon location.
Weight changes with g
g= 9.81ms-2 in Paris, 9.83ms-2 at the
pole and 9.78ms-2 at the equator.
1/21/2014 25
IB Physics (IC NL)
26. Newton’s Third Law
If object 1 and object 2 interact, the
force exerted by object 1 on object 2 is
equal in magnitude but opposite in
direction to the force exerted by object
2 on object 1.
Another version: for every action there is
an equal and opposite reaction.
Equivalent to saying a single isolated
force cannot exist
1/21/2014 26
IB Physics (IC NL)
27. Newton’s Third Law cont.
F12 may be called the
action force and F21
the reaction force
Actually, either force
can be the action or
the reaction force
The action and
reaction forces act
on different objects
Point of application
is always the center
of mass.
1/21/2014 27
IB Physics (IC NL)
28. Some Action-Reaction
Pairs
is the normal force,
the force the table
exerts on the TV
is always
perpendicular to the
surface
is the reaction – the
TV on the table
1/21/2014 28
IB Physics (IC NL)
29. More Action-Reaction pairs
is the force the
Earth exerts on
the object
is the force the
object exerts on
the earth
1/21/2014 29
IB Physics (IC NL)
30. Forces Acting on an Object
Newton’s Law
uses the forces
acting on an
object
are
acting on the
object
are
acting on other
objects
1/21/2014 30
IB Physics (IC NL)
31. Applications of Newton’s
Laws
Assumptions
Objects behave as particles
can ignore rotational motion (for now)
Masses of strings or ropes are
negligible
Interested only in the forces acting
on the object
can neglect reaction forces
1/21/2014 31
IB Physics (IC NL)
32. Free Body Diagram
Must identify all the forces acting
on the object of interest
Choose an appropriate coordinate
system
If the free body diagram is
incorrect, the solution will likely be
incorrect
1/21/2014 32
IB Physics (IC NL)
33. Free Body Diagram,
Example
The force is the
tension acting on
the box
The tension is the
same at all points
along the rope
are the
forces exerted by
the earth and the
ground
1/21/2014 33
IB Physics (IC NL)
34. Free Body Diagram, final
Only forces acting directly on the object are
included in the free body diagram
Reaction forces act on other objects and so
are not included
The reaction forces do not directly influence
the object’s motion
In free body diagrams you can select one
point to be the point of application of all the
forces acting on the object.
1/21/2014 34
IB Physics (IC NL)
35. Solving Newton’s Second
Law Problems
Read the problem at least once
Draw a picture of the system
Identify the object of primary interest
Indicate forces with arrows
Label each force
Use labels that bring to mind the
physical quantity involved
1/21/2014 35
IB Physics (IC NL)
36. Solving Newton’s Second
Law Problems
Draw a free body diagram
If additional objects are involved, draw
separate free body diagrams for each object
Choose a convenient coordinate system for
each object
Apply Newton’s Second Law
The x- and y-components should be taken
from the vector equation and written
separately
Solve for the unknown(s)
1/21/2014 36
IB Physics (IC NL)
37. Equilibrium revisited.
Easier to work with the equation in
terms of its components:
This could be extended to three
dimensions
1/21/2014 37
IB Physics (IC NL)
39. Inclined Planes
Choose the
coordinate
system with x
along the incline
and y
perpendicular to
the incline
Replace the force
of gravity with its
components
1/21/2014 39
IB Physics (IC NL)
40. Multiple Objects –
Example
When you have more than one
object, the problem-solving
strategy is applied to each object
Draw free body diagrams for each
object
Apply Newton’s Laws to each
object
Solve the equations
1/21/2014 40
IB Physics (IC NL)
41. Multiple Objects –
Example, cont.
A fish weights 40.0 N
when at rest.
Determine the weight
when a=2.00 m.s-2 up
When a=2.00 m.s-2
down
What is the weight if
the cable were to
break?
1/21/2014 41
IB Physics (IC NL)
43. Forces of Friction(not in IB)
When an object is in motion on a
surface or through a viscous
medium, there will be a resistance
to the motion
This is due to the interactions
between the object and its
environment
This is resistance is called friction
1/21/2014 43
IB Physics (IC NL)
44. More About Friction
Friction is proportional to the normal
force
The force of static friction is generally
greater than the force of kinetic friction
The coefficient of friction (µ) depends
on the surfaces in contact
The direction of the frictional force is
opposite to the direction of motion
The coefficients of friction are nearly
independent of the area of contact
1/21/2014 44
IB Physics (IC NL)
45. Static friction acts
to keep the object
from moving
If F increases, so
does ƒs
If F decreases, so
does ƒs
ƒs µ n
Static Friction, ƒs
1/21/2014 45
IB Physics (IC NL)
46. Kinetic Friction, ƒk
The force of
kinetic friction
acts when the
object is in
motion
ƒk = µ n
Variations of the
coefficient with
speed will be
ignored
1/21/2014 46
IB Physics (IC NL)
47. Block on a Ramp, Example
Axes are rotated as
usual on an incline
The direction of
impending motion
would be down the
plane
Friction acts up the
plane
Opposes the motion
Apply Newton’s Laws
and solve equations
1/21/2014 47
IB Physics (IC NL)
48. Connected
Objects
Apply Newton’s Laws
separately to each
object
The magnitude of the
acceleration of both
objects will be the
same
The tension is the
same in each diagram
Solve the simultaneous
equations
1/21/2014 48
IB Physics (IC NL)
49. More About Connected
Objects
Treating the system as one object
allows an alternative method or a
check
Use only external forces
If treating the system as one object then
tension is no more considered and it will
be an internal force. The mass is the
mass of the system
1/21/2014 49
IB Physics (IC NL)