Question

The disk rotates about a fixed point with the angular velocity and acceleration shown. The pin moves in a slot angled at 30° from the vertical, and its center at the moving pin is 50 cm from the center of the disk. Determine the absolute vector velocity and vector acceleration of the pin. $\vec{r}_B = \vec{r}_A + \vec{r}_{B/A}$ $\vec{v}_B = \vec{v}_A + \vec{\Omega} \times \vec{r}_{B/A} + (\vec{v}_{B/A})_{xyz}$ $\vec{a}_B = \vec{a}_A + \vec{\Omega} \times \vec{r}_{B/A} + \vec{\Omega} \times (\vec{\Omega} \times \vec{r}_{B/A}) + 2\vec{\Omega} \times (\vec{v}_{B/A})_{xyz} + (\vec{a}_{B/A})_{xyz}$ $\Omega = 20 \frac{rad}{s}$ $\vec{\Omega} = -5 \frac{rad}{s^2}$

          The disk rotates about a fixed point with the angular velocity and acceleration shown. The
pin moves in a slot angled at 30° from the vertical, and its center at the moving pin is 50 cm
from the center of the disk. Determine the absolute vector velocity and vector acceleration
of the pin.
$\vec{r}_B = \vec{r}_A + \vec{r}_{B/A}$
$\vec{v}_B = \vec{v}_A + \vec{\Omega} \times \vec{r}_{B/A} + (\vec{v}_{B/A})_{xyz}$
$\vec{a}_B = \vec{a}_A + \vec{\Omega} \times \vec{r}_{B/A} + \vec{\Omega} \times (\vec{\Omega} \times \vec{r}_{B/A}) + 2\vec{\Omega} \times (\vec{v}_{B/A})_{xyz} + (\vec{a}_{B/A})_{xyz}$
$\Omega = 20 \frac{rad}{s}$
$\vec{\Omega} = -5 \frac{rad}{s^2}$

the disk rotates about a fixed point with the angular velocity and acceleration shown the pin moves in a slot angled at 30 from the vertical and its center at the moving pin is 50 cm from th 37146

Added by Eddie B.

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