(Solved): In the position shown, the slotted plate B is rotating about pin A with the angular velocity omega ...

In the position shown, the slotted plate $B$ is rotating about pin $A$ with the angular velocity omega $=7\mathrm{rad}/\mathrm{s}$ counter-clockwise. The slider $P$ moves along the slot at the constant speed of $\mathrm{v}=7\mathrm{m}/\mathrm{s}$ relative to the plate, in the direction indicated. Give $a=0.3\mathrm{m}$. Now fill in the blanks below with correct numbers. The magnitude of absolute velocity of $P$ at this instant $=$ $\mathrm{m}/\mathrm{s}$ Water entering the curved pipe at $A$ is discharged at $D$. The pipe is rotating about $A$ at the constant angular velocity omega $=12\mathrm{rad}/\mathrm{s}$, and the water has a constant speed of $v=8$ $\mathrm{m}/\mathrm{s}$ relative to the pipe. Now fill in the blanks below with correct numbers. The magnitude of acceleration of the water just before it is discharged at $D=$ $\mathrm{m}/{\mathrm{s}}^{\wedge }2$ The disk is rolling without slipping on the horizontal ground with the constant counterclockwise angular velocity omega $=13$ $\mathrm{rad}/\mathrm{s}$. The pin $P$, attached to the rim of the disk, engages the slot in the rotating arm $AB$. Give $a=3\mathrm{m}$. Now fill in the blanks below with correct numbers. The magnitude of angular acceleration of $AB$ when the system is in the position shown = $\mathrm{rad}/{\mathrm{s}}^{\wedge }2$