Velocity & Acceleration Diagram

$\text{O}$ is a fixed point. $$

Velocity diagram

Notation

• $oa$ - Absolute velocity of point $\text{A}$
• $ab$ - Velocity of point $\text{B}$ relative to point $\text{A}$

Acceleration diagram

Notation

• $o_1a_1$ - Absolute acceleration of point $\text{A}$
• $a_1b_1$ - Velocity of point $\text{B}$ relative to point $\text{A}$

$$a_1b_1 = a_1x_1 + x_1b_1 =(\text{AB})\,\omega_{AB}^2 + (\text{AB})\,\alpha_{AB}$$

Here:

• $a_1x_1$ - the radial component of the relative acceleration between A and B
• $x_1b_1$ - the transverse component of the relative acceleration between A and B