CP Workbook
Incline Places: Force Vector Resultants
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On a
previous page
we considered only the weight vector
W
for a block on a friction-free incline. Here we also consider the normal force
N
.
With no friction, Only two forces act:
W
and
N
. We put the tail of
N
at the block's center to coincide with the tail of
W
- so we can better find the resultant via the parallelogram rule.
We construct a parallelogram [dotted lines] whose sides are
W
and
N
to find the resultant
W + N.
The resultant is the diagonal as shown [bold vector]. This is the net force on the block.
Note the net forces [bold vectors] for the blocks below.
For a steeper incline,
N
increases
stays the same
decreases
For a steeper incline, the net force
increases
stays the same
decreases
How does the net force compare to the parallel component of
W
as determined on the previous page?
Refer to the following information for the next five questions.
The block slides down a curved ramp, as on the previous page. In each location, the net force resultant of
W
and
N
is parallel to the ramp surface. Draw
N
for locations A, B, and C, and construct parallelograms and the net forces.
At which location is the net force greatest?
A
B
C
At which location is the acceleration greatest?
A
B
C
As the speed of the block increases, acceleration
increases
remains constant
decreases
On inclined flat planes, acceleration down the incline
remains constant
varies
On curved inclines, acceleration
remains constant
varies
Related Documents
Lab:
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Coefficient of Friction
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Falling Coffee Filters
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Inelastic Collision - Velocity of a Softball
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Inertial Mass
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LabPro: Newton's 2nd Law
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Resource Lesson:
RL -
Advanced Gravitational Forces
RL -
Air Resistance
RL -
Air Resistance: Terminal Velocity
RL -
Forces Acting at an Angle
RL -
Freebody Diagrams
RL -
Inclined Planes
RL -
Inertial vs Gravitational Mass
RL -
Newton's Laws of Motion
RL -
Non-constant Resistance Forces
RL -
Properties of Friction
RL -
Springs and Blocks
RL -
Springs: Hooke's Law
RL -
Static Equilibrium
RL -
Systems of Bodies
RL -
Tension Cases: Four Special Situations
RL -
The Law of Universal Gravitation
RL -
Universal Gravitation and Satellites
RL -
Universal Gravitation and Weight
RL -
Work and Energy
Worksheet:
APP -
Big Fist
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Family Reunion
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The Antelope
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The Box Seat
APP -
The Jogger
CP -
Action-Reaction #1
CP -
Action-Reaction #2
CP -
Equilibrium on an Inclined Plane
CP -
Falling and Air Resistance
CP -
Force and Acceleration
CP -
Force and Weight
CP -
Force Vectors and the Parallelogram Rule
CP -
Freebody Diagrams
CP -
Gravitational Interactions
CP -
Incline Planes - Force Vector Components
CP -
Inertia
CP -
Mobiles: Rotational Equilibrium
CP -
Net Force
CP -
Newton's Law of Motion: Friction
CP -
Static Equilibrium
CP -
Tensions and Equilibrium
NT -
Acceleration
NT -
Air Resistance #1
NT -
An Apple on a Table
NT -
Apex #1
NT -
Apex #2
NT -
Falling Rock
NT -
Falling Spheres
NT -
Friction
NT -
Frictionless Pulley
NT -
Gravitation #1
NT -
Head-on Collisions #1
NT -
Head-on Collisions #2
NT -
Ice Boat
NT -
Rotating Disk
NT -
Sailboats #1
NT -
Sailboats #2
NT -
Scale Reading
NT -
Settling
NT -
Skidding Distances
NT -
Spiral Tube
NT -
Tensile Strength
NT -
Terminal Velocity
NT -
Tug of War #1
NT -
Tug of War #2
NT -
Two-block Systems
WS -
Combining Kinematics and Dynamics
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Distinguishing 2nd and 3rd Law Forces
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Force vs Displacement Graphs
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Freebody Diagrams #1
WS -
Freebody Diagrams #2
WS -
Freebody Diagrams #3
WS -
Freebody Diagrams #4
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Introduction to Springs
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Kinematics Along With Work/Energy
WS -
net F = ma
WS -
Practice: Vertical Circular Motion
WS -
Ropes and Pulleys in Static Equilibrium
WS -
Vocabulary for Newton's Laws
WS -
Work and Energy Practice: Forces at Angles
TB -
Systems of Bodies (including pulleys)
TB -
Work, Power, Kinetic Energy
Paul G. Hewitt
Copyright © 1984-2005
All rights reserved.
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permission.
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