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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Resource Lesson:
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Advanced Gravitational Forces
RL -
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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Big Fist
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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
NT -
An Apple on a Table
NT -
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
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
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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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All rights reserved.
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