Cinematica dei sistemi di corpi rigidi

A

B

C

$\infty$

A

B

C

$\infty$

$\overrightarrow{v_C\ }\ =\ \overrightarrow{v_B}$

$\overrightarrow{v_C\ }\ =\ 0$

$\overrightarrow{v_C\ }\ =\ \left|v_{c,\ \max}\right|\overrightarrow{i}$

$\overrightarrow{v_C\ }\ =\ -\left|v_{c,\ \max}\right|\overrightarrow{i}$

$\overrightarrow{a_C}\ =\ \overrightarrow{a_B}$

$\overrightarrow{a_C}\ =\ 0$

$\overrightarrow{a_C}\ =\ \left|a_{C,\max}\right|\overrightarrow{i}$

$\overrightarrow{a_C}\ =-\ \left|a_{C,\max}\right|\overrightarrow{i}$

La traiettoria di G è una circonferenza

$\overrightarrow{a_B}\ =\ \overrightarrow{a_C}$

$\overrightarrow{\omega_{AB}}\ =-\ \overrightarrow{\omega_{CD}}$

$\frac{\text{d}\overrightarrow{\omega_{AB}}}{\text{d}t}\ =\ \frac{\text{d}\overrightarrow{\omega_{CD}}}{\text{d}t}$

$\overrightarrow{v_B\ }\ =\ \overrightarrow{v_C}$

$\frac{\text{d}\overrightarrow{\omega_{BC}}}{\text{d}t}\ =\ 0$

$\overrightarrow{\omega_{AB}}\ =\ \overrightarrow{\omega_{CD}}$

$\overrightarrow{a_B}\ =\ \overrightarrow{a_C}$

La traiettoria di C è rettilinea

$\overrightarrow{v_{C,tr}}\ \ \ \perp\ \left(B-A\right)$

$\overrightarrow{v_{C,tr}}\ \ \ \perp\ \left(C-A\right)$

$\overrightarrow{v_{C,rel}\ }\ \parallel\ \left(C-B\right)$

$\overrightarrow{a_{C,tr}}\ \ \parallel\ -\left(B-A\right)$

$\overrightarrow{a_{C,tr}}\ \perp\ \left(B-A\right)$

$\overrightarrow{a_{C,rel}}\ \ \perp\ \left(C-B\right)$

$\overrightarrow{a_{C,Cor}}\ \ =\ 2\ \overrightarrow{\omega}\ \times\overrightarrow{v_{C,rel}}$

$\overrightarrow{v_C}\ \perp\left(C-B\right)$

$\overrightarrow{v_{C,tr}}\ \ \perp\ \left(C-B\right)$

$\overrightarrow{v_{C,rel}}\ \ \parallel\ \left(C-B\right)$

$\overrightarrow{v_C}\ \parallel\ \left(C-B\right)$

$\overrightarrow{a_{C,rel}}\ \parallel\ \left(C-B\right)$

$\overrightarrow{a_{C,tr}}\ \perp\ \left(C-B\right)$

$\overrightarrow{a_{C,Cor}}\ \perp\left(C-A\right)$

$\overrightarrow{a_C}\ =\ \frac{\text{d}\overrightarrow{\omega}}{\text{d}t}\times\left(C-A\right)-\omega^2\left(C-A\right)$