MindMap Gallery particle kinematics
College Physics and Mechanics Chapter 2 Particle Kinematics mind map summarizes the noun definitions of knowledge points. You can add more knowledge by yourself. I hope this mind map will be helpful to you.
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This is a mind map about bacteria, and its main contents include: overview, morphology, types, structure, reproduction, distribution, application, and expansion. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about the reproductive development of animals, and its main contents include: insects, frogs, birds, sexual reproduction, and asexual reproduction. The summary is comprehensive and meticulous, suitable as review materials.
particle kinematics
Linear motion of particle - from coordinates to velocity and acceleration
kinematic equations
Select a coordinate system with only the Ox axis
speed and acceleration
Uniform and uniformly variable linear motion
Estimates of the age and size of the universe, measuring the acceleration due to gravity
Instantaneous velocity vector and instantaneous acceleration vector
average speed vs instantaneous speed
average speed
average speed
Definition: The ratio of the displacement of a particle to the time interval during which this displacement occurs Average rate of change of position vector with respect to time
formula:
average rate
Definition: The average rate of change of distance with respect to time
formula:
instantaneous speed
Definition: The rate of change or first derivative of the position vector with respect to time
formula:
The instantaneous speed is equal to the instantaneous velocity
orthogonal decomposition
size:
Directional cosine:
Average acceleration and instantaneous acceleration
average acceleration
Definition: The ratio of an increment in speed to the time it takes for this increment to occur
formula:
instantaneous acceleration
Definition: The rate of change or first derivative of the velocity vector with respect to time
formula:
orthogonal decomposition
Galileo Transformation
Galilean transformation: describes motion differently in different reference systems, Need to study the relationship between different descriptions
The view of space and time implied by Galilean transformation
Simultaneity is absolute
The time interval is also absolute
"At the same time": the length of the rod in the remote movement direction is the same as the time when the rod is at rest.
Premise: , that is, under the conditions of classical mechanics
Galilean velocity transformation relationship
Absolute motion: the motion of a particle relative to the basic reference system Relative motion: the motion of a particle relative to the motion reference system Involved motion: the motion of the motion reference frame relative to the basic reference frame
Acceleration is invariant to Galilean transformation
Plane Cartesian coordinate system, projectile motion
Cartesian coordinate system
Different from linear motion, the particle plane motion needs to be determined by Two independent scalar functions x(t) and y(t) determine
on the contrary,
Projectile motion
kinematic equations
Shoot high:
Range:
Discuss projectile motion using vectors
Polar coordinate system, radial velocity and transverse velocity
polar coordinate system
Radial speed and transverse speed
Natural coordinates, tangential and normal acceleration
natural coordinates
Velocity, normal and tangential acceleration
Acceleration of circular motion:
General curved motion:
Linear motion of particle - from acceleration to velocity and coordinates
From velocity to kinematic equations and displacements
Find the velocity and kinematic equations given the acceleration
particle kinematics equations
Position vector and kinematic equation of particle
position vector
Definition: A vector leading from a reference point to the location of the particle
Orthogonal decomposition:
size:
direction: and
kinematic equations
Orthogonal decomposition:
Scalar form:
trajectory equation
y=y(x)
Displacement - Increment of position vector
Definition: The vector from the initial position of the particle point to the final position after t is called the displacement in time t
Orthogonal decomposition:
Distance: The total length of the path traveled by a particle on its trajectory within a period of time