Question

At the instant shown, the arm $OA$ of the conveyor belt is rotating about the $z$ axis with a constant angular velocity $\omega_1 = 5.9 \text{ rad/s}$, while at the same instant the arm is rotating upward at a constant rate $\omega_2 = 3.5 \text{ rad/s}$. If the conveyor is running at a rate $\dot{r} = 5 \text{ ft/s}$, which is increasing at $\ddot{r} = 8 \text{ ft/s}^2$, determine the velocity of the package $P$ at the instant shown. Neglect the size of the package. Enter the $x, y,$ and $z$ components of the velocity in feet per second to three significant figures separated by commas. Determine the acceleration of the package $P$ at the instant shown. Enter the $x, y,$ and $z$ components of the acceleration in feet per second squared to three significant figures separated by commas.

          At the instant shown, the arm $OA$ of the conveyor belt is rotating about the $z$ axis with a constant angular velocity $\omega_1 = 5.9 \text{ rad/s}$, while at the same instant the arm is rotating upward at a constant rate $\omega_2 = 3.5 \text{ rad/s}$.

If the conveyor is running at a rate $\dot{r} = 5 \text{ ft/s}$, which is increasing at $\ddot{r} = 8 \text{ ft/s}^2$, determine the velocity of the package $P$ at the instant shown. Neglect the size of the package.
Enter the $x, y,$ and $z$ components of the velocity in feet per second to three significant figures separated by commas.

Determine the acceleration of the package $P$ at the instant shown.
Enter the $x, y,$ and $z$ components of the acceleration in feet per second squared to three significant figures separated by commas.

at the instant shown the arm oa of the conveyor belt is rotating about the z axis with a constant angular velocity omega1 59 text rads while at the same instant the arm is rotating upward a 03493

Added by Sandra E.

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