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用户:CaffeineP/课程笔记本/质点力学

维基百科，自由的百科全书

由于维基百科的虫，用户:CaffeineP/沙盒#质点力学移至这里。

（考虑中）我将来可能将这些原创内容发到维基学院。

另见User:CaffeineP/数学式的推导(表格形式)。

r（位移） v（速度） p（动量） a（加速度） F（力）
v
d/dt
r
p
*
m
v
d/dt
r
a
d/dr
v
d/dt...r
d^2/dr^2
r
F
*
m
a
d^2/dt^2
r
固定空间直角坐标系
r
+
*...*
*
x...i...y
j...z...k
d/dt
i
0
d/dt
j
0
d/dt
k
0
v
d/dt
r
+
*...*
*
x...i...y
j...z...k
+
+...+
+
*...*...*
*...*...*
i...x...j
y...k...z
d/dt...x...d/dt...i...d/dt...y
d/dt...j...d/dt...z...d/dt...k
0
0...0
0
0...0
+
*...*
*
i
j...k
d/dt...x...d/dt
y...d/dt...z
vx
vy...vz
v
+
*...*
*
i
j...k
d/dt...x...d/dt
y...d/dt...z
d/dt...x...d/dt
y...d/dt...z
p
*
m
v
*
*...*
*
i
j...k
d/dt...x...d/dt
y...d/dt...z
px
py...pz
p
*
m
+
*...*
*
i
j...k
d/dt...x...d/dt
y...d/dt...z
*...*
*
m...m
m
d/dt...x...d/dt
y...d/dt...z
a
d/dt
v
+
*...*
*
i
j...k
d/dt...x...d/dt
y...d/dt...z
+
+...+
+
*...*...*
*...*...*
i
j...k
d/dt...d/dt...x...d/dt...i...d/dt...d/dt
y...d/dt...j...d/dt...d/dt...z...d/dt...k
d/dt...x...d/dt
y...d/dt...z
0
0...0
0
0...0
d^2/dt^2...x...d^2/dt^2
y...d^2/dt^2...z
+
*...*
*
i
j...k
d^2/dt^2...x...d^2/dt^2
y...d^2/dt^2...z
ax
ay...az
a
+
*...*
*
i
j...k
d^2/dt^2...x...d^2/dt^2
y...d^2/dt^2...z
d^2/dt^2...x...d^2/dt^2
y...d^2/dt^2...z
F
*
m
a
*
*...*
*
i
j...k
d^2/dt^2...x...d^2/dt^2
y...d^2/dt^2...z
Fx
Fy...Fz
F
*
m
+
*...*
*
i
j...k
d^2/dt^2...x...d^2/dt^2
y...d^2/dt^2...z
*...*
*
m...m
m
d^2/dt^2...x...d^2/dt^2
y...d^2/dt^2...z
固定平面直角坐标系 单元格D 单元格G
固定平面极坐标系
r
*
r
i
di
*
j
dtheta
dj
*
-i
dtheta
di/dt
*
dtheta/dt
di/dtheta
d/dt
theta...j
dj/dt
*
dtheta/dt
dj/dtheta
d/dt
theta...-i
*
i
-d/dt
theta
v
d/dt
r
*
r
i
+
*
*
i
r
d/dt...r
d/dt...i
*
j
d/dt
theta
+
*
*
i...*
j
d/dt
r
r
d/dt
theta
vr
vtheta
v
+
*
*
i...*
j
d/dt
r
r
d/dt
theta
*
d/dt
r
r
d/dt
theta
单元格D 单元格G
自然坐标系 单元格B 单元格C 单元格D 单元格G
匀速平动参考系空间直角坐标系 单元格B 单元格C 单元格D 单元格G
检索自“https://wiki.gdrain.workers.dev/w/index.php?title=User:CaffeineP/课程笔记本/质点力学&oldid=65511146”