Kinematics
2015-03-05 08:19:49 1 举报AI智能生成
Kinematics是物理学的一个分支，专注于研究物体的运动。它探讨了速度、加速度和位移等概念，以及它们之间的关系。通过分析物体的位置随时间的变化，可以推导出其运动轨迹和速度曲线。在二维空间中，可以使用向量来表示物体的位置和方向。而在三维空间中，则需要考虑更多的变量和方程。此外，Kinematics还研究了力的作用对物体运动的影响，包括牛顿定律和万有引力定律等。通过运用数学模型和实验数据，我们可以更好地理解物体的运动规律，为工程设计、交通运输等领域提供重要的参考依据。总之，Kinematics是一门富有挑战性和实用性的学科，对于深入探究自然界的运动现象具有重要意义。
作者其他创作
大纲/内容
One dimension
Two dimension
Coordinate
Reference system
A point with a mass
Particle
Element
average v = displacement traveled/ time elaspsed
instantaneous v = lim △t→0 △x/△t
Vector
Velocity
average speed = distance traveled/ time elaspsed
instantaneous speed = lim △t→0 △x/△t = instantaneous v
Scalor
Speed
The description of speed
time: m/s
the difference between the final and initial position of a point
displacement: m
Time and Displacement
The description of movment
v is constant and a=0
constant motion
v = at
Time and velocity
x = vt + 1/2at^2
Time and displacement
2ax = vt^2 - v0^2
Displacement and velocity
a is constant and v is variable
motion with constant acceleration
a and v is variable
motion with variable acceleration
v=0 a=g
movement of falling object
Rectilinear motion
G=mg
Gravity
Static
f=μN
Kinetic
Friction
Deformation
Elasticity
composition of forces
component of forces
Interaction
w=fs
p=w/t
1/2kx^2
elastic potential energy
mgh
gravitational potential energy
1/2mv^2
kinetic energy
W=W1+W2+...+Wn
W=Ek2-Ek1
theorem of kinetic energy
△Ek=-△Ep
law of conservation of mechanical energy
Kinematics
First law
The vector sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration vector a of the object: F = ma.
Second law
Third law
newton's laws
Y:1/2gt^2
X: vt
horizontal projectile motion
F=mv^2/r=mw^2r
centripetal force
circular motion
curvilinear motion
The orbit of every planet is an ellipse with the Sun at one of the two foci.
Kepler's first law
A line joining a planet and the Sun sweeps out equal areas during equal intervals of time.
Kepler's second law
The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.
Kepler's third law
The movement of planet
F=(G×M1×M2)/R²
Law of universal gravitation
first cosmic velocity 7.9 km/s
second cosmic velocity 11.2 km/s
third cosmic velocity 16.7 km/s
astro navigation
universal gravitation
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