Q$1)$ Dynamic Force Analysis

a$.$ Draw free body diagrams of links $2,3,4,$ and $5.$ Solve the dynamic force analysis

problem by writing a computer program which solves all the unknown variables.

Your results must contain the X and Y components of internal reaction forces and

input torque for $10$ degree increments of the input angle. Present your results in

tabular format and as plots. Discuss important points that you observe from the

plots.

b$.$ Repeat the dynamic force analysis for: $($a$)?$

$"=100$ N; and $($b$)?$

$"=5000$ N$.$

Comment on the significance of the magnitude of this external force on the dynamic

behavior of the mechanism.

c$.$ Discuss free body diagrams of the linkage for a clockwise rotation of the input link

$($at the same angular speed$).$ Provide insights into the distinctions observed in

internal reaction forces and crank torque.

Q$2)$ Compare static and dynamic force analysis

a$.$ Modify your program in Question $1$ to perform static force analysis for $10$ degree

increments of the input link. Show the X and Y components of the internal reaction

forces, the crank torque, and any other unknown variables, for $10$ degree increments

of the input link $($tables and plots$).$

b$.$ Comment on the similarities and differences with results in dynamic force analysis.

Q$3)$ Power Equation Analysis

a$.$ Formulate the symbolic power equation for the linkage. Utilize the equation of

motion to generate tables and plots illustrating the crank torque at $10-$degree

intervals of the input link.

b$.$ Compare your results in $9$c with the crank torque obtained from the dynamic force

analysis. Comment on any similarities or differences.

IF YOU SOLVE CORRECT THEN I WILL GIVE YOU GOOD REVIEW!

$\backslash$table$[[$Parameter$,$Value$],[O_{2}J,0\mathrm{.}110$ m$],[O_{2}H,0\mathrm{.}140$ m$],[O_{2}A,0\mathrm{.}100$ m$],[AC,0\mathrm{.}200$ m$],[AB,0\mathrm{.}250$ m$],[AP,0\mathrm{.}200$ m$],[BP,0\mathrm{.}150$ m$]]$

The following external forces act on the mechanism:

A constant force vec$(F{)}_P=750$hat$()N$ at point $P$

A torque vec$(T{)}_2$ on Link $2$ from the crankshaft

Spring force between point $C$ and $O_S.$ Spring has a stiffness coefficient of $2000\frac{N}{m}$ with a free length of $17\mathrm{.}5$ cm

Viscous damping force due to a damper between $B$ and $O_C.$ Line connecting pin $B$ and $O_C$ is parallel to X $-$axis. Damping coefficient is $15N\frac{s}{m}$

Gravity acts in the $-$ve Y$-$direction

Coefficient of friction between point C and ground is $=0\mathrm{.}25.$ The remaining friction in the mechanism can be neglected

The inertial properties of the links are tabulated below:

$\backslash$table$[[$Link$,$Mass $($kg$),$Mass moment of inertia $($Nms ${?}^2),$Center of Mass$],[2,m_2,5,I_{G2},0\mathrm{.}01,$Pivot $O_2$