$1.$ Using working model $2$D create a Working Model $2$D solution of the following mechanisms and using the computer. Problem

$15\mathrm{.}250$

A disk of $0\mathrm{.}15-$m radius rotates at a

constant rate $2$ with respect to

plate $BC,$ which itself rotates at the

constant rate $1$ about the $y$ axis.

Knowing that $1=2=3ra\frac{d}{s},$

determine, for the position shown,

the velocity and acceleration $($a$)$ of

point $D,($b$)$ of point $F.15\mathrm{.}252$

A drum of radius $4\mathrm{.}5$ in$.$ is mounted on

a cylinder of radius $7\mathrm{.}5$ in$.$ A cord is

wound around the drum, and its

extremity $E$ is pulled to the right with a

constant velocity of $15in\frac{.}{s},$ causing

the cylinder to roll without sliding on

plate $F.$ Knowing that plate $F$ is

stationary, determine: $($a$)$ the velocity

of the center of the cylinder, $($b$)$ the

acceleration of point $D$ of the cylinder.

$2.$ Solve the problems $1\_4\_1\_$Exercise$\_1,1\_4\_2\_$Exercise$\_2,1\_4\_3\_$Exercise$\_3.($Suggestion$.$ Redo these exercises at home with the help of the analytical solution$)$

$3.$ Draw the geometry and reproduce the mechanisms.

$4.$ Verify the results that were obtained by hand.Problem

$15\mathrm{.}248$

Knowing that at the instant shown

crank $BC$ has a constant angular

velocity of $45$ rpm clockwise,

determine the acceleration $($a$)$ of

point $A,($b$)$ of point $D.$