Transcript Document

Chapter 3: Force and Motion
The First Law of Motion
An object at rest will remain at rest and an object in motion will
remain in motion (at constant velocity) unless acted upon by an
external force.
Forces are the “causes” of changes in motion.
forces on an object arise from interactions with other objects.
The inertia of an object is its resistance to changes in its motion.
Mass is a measure of inertia.
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Mass as a measure of inertia
two interacting objects, initially at rest
A
B
vA
A
B
vB
relative changes in motion: vA /vB = mB /mA
Units: kilogram = kg (other units: slugs, sometimes
“pounds mass”) 1kg ~ 2.2 lb.
Force: the influence which causes change in motion
change in velocity = change in speed or direction
A net force (or unbalanced force) creates changes in motion
If the resultant of all forces acting on an object is zero,
there is no change in motion: the object is in equilibrium.
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The Second Law of Motion
The net force acting on an object equals the product of the mass
and the acceleration.
F=ma
(net force) = (mass)(acceleration)
Units: 1 Newton = 1N = 1 kg · m/s2
1N ~ 1/4 pound
Example 3.1: A 60 g tennis ball approaches a racket at 30 m/s, is in contact with the racket
for 5 ms and then rebounds at 30 m/s. What is the average force the racket exerts on the
ball?
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Example 3.2: A human cannon ball with mass 70 kg is fired from a compressed-air cannon
whose barrel is 20m long. He emerges from the cannon at 40 m/s.
Find his average acceleration and the force exerted on him during the firing of the
cannon.
Example 3.3: A horizontal force of 10 N is applied to a 4.0 kg block which is initially at rest
on a smooth level surface. Find the speed of the block and its displacement after it has gone
for 6.0 s.
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Weight: the force exerted by earth (via gravity) on an object
In free fall, gravity is the only force acting on the object
F = ma = mg = w
Weight = (mass)(acceleration of gravity)
Example 3.4: A loaded elevator whose total mass is 800 kg is suspended by a cable whose
maximum permissible tension is 20,000 N. What is the greatest upward acceleration
possible? What is the greatest downward acceleration? (draw free-body diagrams)
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The third law of motion: action/reaction
When an object exerts a force on a second object, the second
object exerts a force on the first of equal magnitude, but
opposite direction.
For every action there is an equal but opposite reaction.
Forces arise from interactions!
Action/Reaction
Forces on an Object
reaction force of table on computer
reaction force of table on computer
force of computer on
table
weight of computer
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T=FB
mB = 30kg
(+)
B
T
(+)
A
wA -T=FA
=mA g-T
mA = 15kg
w
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T
(+)
T-wA=FA
(+)
wB-T=FB
w
A
mA = 15kg
B
mB = 30kg
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Friction
opposes motion
due to surfaces sticking together
Kinetic Friction: surfaces are moving relative to each other
a.k.a. Sliding Friction
Static Friction: surfaces are not moving relative to each
other.
Static Friction prevents stationary objects from moving
until sufficient force has been applied.
Friction
Applied Force
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Coefficient of Friction
Frictional forces depend upon
how hard the surfaces are being pressed together
-> force perpendicular to the surface = normal force
the types of surfaces that are in contact
-> coefficient of friction
F f   s FN
Static Friction
F f   k FN
Kinetic Friction
Material
wood on wood
wood on stone
steel on steel (smooth)
rubber tire on dry concrete
rubber tire on wet concrete
steel on Teflon
static: s
0.5
0.5
0.15
1.0
0.7
0.04
kinetic: k
0.3
0.4
0.09
0.7
0.5
0.04
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Example 3.11: A 100 kg wooden crate is at rest on a level stone floor.
(a) What is the minimum horizontal force needed to start the crate moving?
(b) What is the minimum horizontal force needed to keep the crate in motion at
constant horizontal speed?
(c) What will happen if a horizontal force of 500 N is applied to the crate?
`
Example 3.14:A wooden chute is being built along which wooden crates are to be slid
down at constant speed.
(a) What angle should the chute make with respect to the horizontal?
(b) What force needs to be applied to a 100 kg crate to start it sliding down this chute?
FN
Ff
mg sinq
q
mg cosq
q
mg
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