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
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Resource Lesson:
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Advanced Gravitational Forces
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Air Resistance
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Air Resistance: Terminal Velocity
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Forces Acting at an Angle
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Freebody Diagrams
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Gravitational Energy Wells
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Inclined Planes
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Inertial vs Gravitational Mass
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Newton's Laws of Motion
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Non-constant Resistance Forces
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Properties of Friction
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Springs and Blocks
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Springs: Hooke's Law
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Static Equilibrium
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Systems of Bodies
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Tension Cases: Four Special Situations
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The Law of Universal Gravitation
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Universal Gravitation and Satellites
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Universal Gravitation and Weight
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What is Mass?
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Work and Energy
Worksheet:
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Family Reunion
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The Antelope
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The Box Seat
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The Jogger
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Action-Reaction #1
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Action-Reaction #2
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Equilibrium on an Inclined Plane
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Falling and Air Resistance
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Force and Acceleration
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Force and Weight
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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
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Air Resistance #1
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An Apple on a Table
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Apex #1
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Apex #2
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Falling Rock
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Falling Spheres
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Friction
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Frictionless Pulley
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Gravitation #1
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Head-on Collisions #1
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Head-on Collisions #2
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Ice Boat
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Rotating Disk
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Sailboats #1
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Sailboats #2
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Scale Reading
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Settling
NT -
Skidding Distances
NT -
Spiral Tube
NT -
Tensile Strength
NT -
Terminal Velocity
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Tug of War #1
NT -
Tug of War #2
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Two-block Systems
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Advanced Properties of Freely Falling Bodies #1
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Advanced Properties of Freely Falling Bodies #2
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Calculating Force Components
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Charged Projectiles in Uniform Electric Fields
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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
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Freebody Diagrams #2
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Freebody Diagrams #3
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Freebody Diagrams #4
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Introduction to Springs
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Kinematics Along With Work/Energy
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Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
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Lab Discussion: Inertial and Gravitational Mass
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net F = ma
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Practice: Vertical Circular Motion
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Ropes and Pulleys in Static Equilibrium
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Standard Model: Particles and Forces
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Static Springs: The Basics
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Vocabulary for Newton's Laws
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Work and Energy Practice: Forces at Angles
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Systems of Bodies (including pulleys)
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Work, Power, Kinetic Energy
Paul G. Hewitt
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