## Related questions with answers

The rod assembly is supported by ball-and-socket joints at A and B . At the instant shown it is rotating about the y axis with an angular velocity $\omega=$5 rad/ s and has an angular acceleration $\alpha=8 \mathrm{rad} / \mathrm{s}^{2} .$ Determine the magnitudes of the velocity and acceleration of point C at this instant. Solve the problem using Cartesian vectors and Eqs. 16-9 and 16-13 .

Solution

VerifiedThe velocity of point C can be calculated as,

$\begin{align*} \vec{v_C}&=\vec{\omega}\times \vec{r_{AC}}\;\;\;\;(1) \end{align*}$

The angular velocity of the rod assembly is defined as,

$\begin{align*} \vec{\omega}&=5 \vec{j} \end{align*}$

The position vector $\vec{r_{AC}}$ is defined as follows,

$\begin{align*} \vec{r_{AC}}&=-0.4\vec{i}+0.3\vec{k} \end{align*}$

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