MindMap Gallery Newton's laws of motion
Newton's Laws of Motion mind map, knowledge points covering Newton's first law, Newton's second law, Newton's third law, history of physics, international units, etc., suitable for exam review!
Edited at 2021-12-08 01:28:09One Hundred Years of Solitude is the masterpiece of Gabriel Garcia Marquez. Reading this book begins with making sense of the characters' relationships, which are centered on the Buendía family and tells the story of the family's prosperity and decline, internal relationships and political struggles, self-mixing and rebirth over the course of a hundred years.
One Hundred Years of Solitude is the masterpiece of Gabriel Garcia Marquez. Reading this book begins with making sense of the characters' relationships, which are centered on the Buendía family and tells the story of the family's prosperity and decline, internal relationships and political struggles, self-mixing and rebirth over the course of a hundred years.
Project management is the process of applying specialized knowledge, skills, tools, and methods to project activities so that the project can achieve or exceed the set needs and expectations within the constraints of limited resources. This diagram provides a comprehensive overview of the 8 components of the project management process and can be used as a generic template for direct application.
One Hundred Years of Solitude is the masterpiece of Gabriel Garcia Marquez. Reading this book begins with making sense of the characters' relationships, which are centered on the Buendía family and tells the story of the family's prosperity and decline, internal relationships and political struggles, self-mixing and rebirth over the course of a hundred years.
One Hundred Years of Solitude is the masterpiece of Gabriel Garcia Marquez. Reading this book begins with making sense of the characters' relationships, which are centered on the Buendía family and tells the story of the family's prosperity and decline, internal relationships and political struggles, self-mixing and rebirth over the course of a hundred years.
Project management is the process of applying specialized knowledge, skills, tools, and methods to project activities so that the project can achieve or exceed the set needs and expectations within the constraints of limited resources. This diagram provides a comprehensive overview of the 8 components of the project management process and can be used as a generic template for direct application.
No relevant template
Newton's laws of motion
Newton's first law
content
All objects always maintain a state of uniform linear motion or a state of rest. Unless a force acting on it forces it to change this state
understand
The first half of the sentence points out that all objects have the property of maintaining their original state of motion, that is, inertia
All objects have inertia under any circumstances, The size of inertia is only related to the mass of the object
The second half of the sentence reveals the relationship between force and motion, Force is what changes the motion of an object
application
cannot be directly verified by experiments
Establishment conditions
The particle moves in the inertial frame
Not applicable to non-inertial systems and rotating objects
Newton's second law
content
The acceleration of an object is proportional to the force acting on it
Inversely proportional to the mass of the object
The direction of acceleration is the same as the direction of force
understand
Causality
Force is what produces acceleration
vectoriality
The direction of acceleration is the same as the direction of the resultant force
instantaneity
Acceleration and resultant force exist at the same time, change at the same time, and disappear at the same time
Newton's Second Law The instantaneous effect of reaction force
independence
Each force produces an acceleration separately
consubstantiality
Acceleration and resultant force must apply to the same object
limitation
Macroscopic objects move at low speed in an inertial reference frame
expression
F=ma
application
Two basic problems in dynamics
known force-driven motion
Given the motion, find the force
Two analyzes (force, motion), one bridge (acceleration)
Problem solving steps
Clarify the research object and research process
Conduct force analysis and draw force diagrams
Develop equations based on Newton's second law and discuss the rationality of the results
Known force
combined external force
a
Sports situation
Known movement conditions
a
combined external force
Force
application model
connectome problem
Transient issues
Spring: elastic force cannot change suddenly
Light rope or light pole: elasticity can change suddenly
Solve with ensemble or isolation method
Image issues
v-t image, a-t image, F-t image
Criticality problems, multi-process problems, etc.
two kinematic models
conveyor belt model
Slider plank model
experiment
Explore the relationship between acceleration, force, and mass
Experimental principle: controlled variable method
Experimental steps and precautions
Dot timer related operations
experiment process
Measure m, M mass
Installation equipment
balance friction
Place a thin wooden board under the end of the long wooden board without a pulley and repeatedly move the position of the thin wooden board until the car can maintain uniform linear motion when moving on an incline.
conduct experiment
Turn on the power first and then release the car
Change m mass and repeat the experiment
Select the appropriate position of the paper tape and calculate the acceleration
Draw F-a graph
Add weights to the trolley and draw a diagram of 1/(m M)-a
The total mass of sand and sand bucket is much smaller than the total mass of the trolley (m<<M)
Purpose:
data processing
Find speed and acceleration using paper tape
Drawing: a-F image, a-1/m image
Experimental conclusion: keeping ** unchanged, the acceleration a is ** proportional to **
Experimental error
Systematic error, accidental error
The inclination angle is too small when balancing friction (1, 2)
The inclination angle is too large when balancing friction (3, 4)
Not satisfied M》m
Newton's third law
content
Action and reaction forces between two objects are always equal in magnitude and opposite in direction, acting on the same straight line
distinguish
Action force and reaction force: equal magnitude, opposite direction, collinear,
A pair of balancing forces: equal, opposite, collinear,
switching research object method
Use the force on an interacting object to determine the force on that object
Pay special attention when answering calculation questions
history of physics
Aristotle
The movement of objects on the ground requires "force" to maintain
Galileo
Inclined plane experiment to verify the law of inertia (Newton’s first law)
Descartes
Inertial motion can only be linear motion at a uniform speed, and kinetic energy is proposed
newton
Classical mechanics system, Newton's first law, Newton's second law, Newton's third law
International System of Units
7 basic units:
Export units
Practical problems
connectome problem
Connectors with the same acceleration
First use the overall method to find the overall acceleration
Then use the isolation method to isolate objects with relatively simple stress for analysis.
Connectors with different accelerations
quarantine law
Movement implication of connectome
Connect two objects with an inextensible rope
The partial motion along the rope is always the same
Movement perpendicular to the rope is not necessarily the same
instantaneous acceleration
Rigid rope (contact surface)
Small deformation disappears immediately
Spring (rubber rope)
Macroscopic deformation
Generally viewed as remaining unchanged
conveyor belt problem
V0=0, V0 and V are in the same direction
Maybe speed up first
It is also possible to accelerate first and then maintain a constant speed
V0 is not 0, V0 and V are in the same direction
V0<V
Accelerate to the same speed as V
V0>V
Decelerate to the same speed as V
V0 is opposite to V
When L is short, m may keep accelerating
When L is long, m first accelerates and then moves at a constant speed
block on top
L short time: keep accelerating
If tanθ<u and L is long: accelerate first and then move at a constant speed
If tanθ>u and L is long, it may continue to accelerate downward after reaching V.
plate
In the same direction
The slider slides from one end to the other |X1-X2|=L
reverse
The slider slides from one end to the other end X1 X2=L
Overweight, weightless
overweight
a straight up
F-mg=ma
Accelerate ascent or decelerate ascent
weightlessness
a straight down
mg-F=ma
Accelerate descent or decelerate ascent
Complete weightlessness
a=g, vertically downward
F=0
Accelerate down or decelerate up with a=g
way of thinking
holistic approach
List Cow's Second Law for Systems
quarantine law
It is often used when solving the interaction forces of connected bodies.
image method
Pay attention to the meaning of the coordinate axes, slope, intercept, area, intersection, critical value and other information
Draw vector graphics, vector triangles
analytical method
Vector synthesis method
Find the relationship between force and acceleration based on geometric relationships
Orthogonal decomposition method