```python
import sympy as sm
import sympy.physics.mechanics as me
me.init_vprinting()
```


```python
N, A, B = sm.symbols("N, A, B", cls=me.ReferenceFrame)
```


```python
alpha, beta = me.dynamicsymbols('alpha, beta')
d, w, c, l = sm.symbols('d, w, c, l')
```


```python
A.orient_axis(N, alpha, N.z)
B.orient_axis(A, beta, A.x)
```


```python
N_v_S = -d*alpha.diff()*A.y
N_v_S
```


```python
A.ang_vel_in(N) + B.ang_vel_in(A)
```


```python
B.ang_vel_in(N)
```


```python
r_S_Q = -w*B.x - (c + l/2)*B.z
r_S_Q
```


```python
N_v_Q = N_v_S + B.ang_vel_in(N).cross(r_S_Q)
N_v_Q
```


```python
N_v_Q.express(B)
```


```python
S, Q = sm.symbols('S, Q', cls=me.Point)
```


```python
Q.set_pos(S, r_S_Q)
```


```python
Q.pos_from(S)
```


```python
S.set_vel(N, N_v_S)
```


```python
S.vel(N)
```


```python
Q.v2pt_theory(S, N, B)
```


```python
s = me.dynamicsymbols('s')
```


```python
r_S_R = (s-w)*B.x + (l/2-c)*B.z
r_S_R
```


```python
B_v_R = s.diff()*B.x
B_v_R
```


```python
B.ang_vel_in(A)
```


```python
A_v_R = B_v_R + me.cross(B.ang_vel_in(A), r_S_R)
A_v_R
```


```python
me.cross(B.ang_acc_in(A), r_S_R)
```


```python
me.cross(B.ang_vel_in(A), me.cross(B.ang_vel_in(A), r_S_R))
```


```python
2*me.cross(B.ang_vel_in(A), B_v_R)
```


```python
B_v_R
```


```python
t = me.dynamicsymbols._t
```


```python
B_v_R.diff(t, B)
```


```python
R = me.Point('R')
```


```python
R.set_pos(S, r_S_R)
```


```python
R.set_vel(B, B_v_R)
```


```python
S.set_vel(A, 0)
```


```python
R.a1pt_theory(S, A, B)
```


```python
R.a1pt_theory(S, N, B)
```

b1efe38e589117d4ebce63aec07ab458330b2ea3
ipynb
Jupyter Notebook
content/notebooks/translational.ipynb
moorepants/me41055
5c941d28f6f61fa1a02fbda4772d88010014eec0
CC-BY-4.0
content/notebooks/translational.ipynb
moorepants/me41055
5c941d28f6f61fa1a02fbda4772d88010014eec0
CC-BY-4.0
2022-01-07T18:05:36.000Z
2022-03-22T15:15:01.000Z
content/notebooks/translational.ipynb
moorepants/me41055
5c941d28f6f61fa1a02fbda4772d88010014eec0
CC-BY-4.0
2022-01-24T17:18:40.000Z
2022-01-24T17:18:40.000Z
Qwen/Qwen-72B
1. YES
2. YES