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Transcript
Chapter 5 (Cont.)
Newton’s Laws of Motion
Copyright © 2010 Pearson Education, Inc.
Review
• Force: a push or pull
• Mass: measures the difficulty in
accelerating an object
• Newton’s first law: if the net force on an
object is zero, its velocity is constant
• Inertial frame of reference: one in which the
first law holds
• Newton’s second law:
• Free-body diagram: a sketch showing all the
forces on an object
Copyright © 2010 Pearson Education, Inc.
Review
r
F
• Newton’s third law: If object 1 exerts a force
r
on object 2, then object 2 exerts a force – F on
object 1.
• Contact forces: an action-reaction pair of
forces produced by two objects in physical
contact
• Forces are vectors
• Newton’s laws can be applied to each
component of the forces independently
Copyright © 2010 Pearson Education, Inc.
Hint: draw free-body diagrams for both objects
5-5 The Vector Nature of Forces: Forces in
Two Dimensions
The easiest way to handle forces in two
dimensions is to treat each dimension
separately, as we did for kinematics.
Copyright © 2010 Pearson Education, Inc.
Newton’s Second Law
r
a=
∑
r
F
m
∑F
x
= ma x
or
∑
r
r
F = ma
∑F
y
= ma y
∑F
z
= ma z
Newton’s laws can be applied to each component
of the forces independently
Copyright © 2010 Pearson Education, Inc.
5-6 Weight
The weight of an object on the Earth’s surface
is the gravitational force exerted on it by the
Earth.
Copyright © 2010 Pearson Education, Inc.
5-6 Weight
Apparent weight:
Your perception of your weight is based on the
contact forces between your body and your
surroundings.
If your surroundings
are accelerating,
your apparent
weight may be more
or less than your
actual weight.
Wa = W + ma
Q: W =? if acceleration is downward
Copyright ©a2010 Pearson Education, Inc.
= mg + ma = m( g + a)
5-7 Normal Forces
The normal force is
the force exerted by
a surface on an
object.
Copyright © 2010 Pearson Education, Inc.
5-7 Normal Forces
The normal force may be equal to, greater than,
or less than the weight.
Copyright © 2010 Pearson Education, Inc.
5-7 Normal Forces
The normal force is always perpendicular to
the surface.
Copyright © 2010 Pearson Education, Inc.
Copyright © 2010 Pearson Education, Inc.
Key: work out x and y components
separately!
Copyright © 2010 Pearson Education, Inc.
Summary
•Forces are vectors
• Newton’s laws can be applied to each component of
the forces independently
• Weight: gravitational force exerted by the Earth on an
object
• On the surface of the Earth, W = mg
• Apparent weight: force felt from contact with a floor or
scale
• Normal force: force exerted perpendicular to a surface
by that surface
• Normal force may be equal to, lesser than, or greater
than the object’s weight
Copyright © 2010 Pearson Education, Inc.