跳至內容

使用者:CaffeineP/課程筆記本/質點力學

維基百科，自由的百科全書

由於維基百科的蟲，用戶:CaffeineP/沙盒#質點力學移至這裡。

（考慮中）我將來可能將這些原創內容發到維基學院。

另見User:CaffeineP/數學式的推導(表格形式)。

r（位移） v（速度） p（動量） 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
固定空間直角坐標系
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
固定平面直角坐標系 單元格D 單元格G
固定平面極坐標系
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
單元格D 單元格G
自然坐標系 單元格B 單元格C 單元格D 單元格G
勻速平動參考系空間直角坐標系 單元格B 單元格C 單元格D 單元格G
取自「https://wiki.gdrain.workers.dev/w/index.php?title=User:CaffeineP/课程笔记本/质点力学&oldid=65511146」