Problem $7($bonus $+2$ p$.)$:

The wheel is spinning about shaft AB with an angular ve$-$

locity of ${}_s=10ra\frac{d}{s^2},$ which is increasing at a constant

rate of ${}_s^{}=6ra\frac{d}{s^2},$ while the frame rotates about the

$z-$axis with an angular velocity of ${}_p=12ra\frac{d}{s},$ which

is increasing at a constant rate of ${}_p^{}=3ra\frac{d}{s^2}.$ At the

instant of the figure, determine the velocity and accel$-$

eration of the material point C $,$ which is located on the

rim of the wheel. Use the equations for the velocity and

acceleration of a material point derived in problem $2.$

Solution: $v=[1\mathrm{.}8j-1\mathrm{.}5k]\frac{m}{s}$ and

$0\mathrm{.}45j-0\mathrm{.}9k$