Given the cantilevered beam below solve each PART using the different scenarios and using moment$-$area theorems:

PART $1$

The magnitude of the force F so that the deflection at the free end is zero is mostly near$\_\_\_\_\_\_$kip

w$=2$klf

L$=15$ft

EI$=$constant

$($Select from one the following$)$

Option A: $3$

Option B: $4$

Option C: $5$

Option D: $1$

Option E: $2$

PART $2$

The deflection at the free end is mostly near$\_\_\_\_\_\_$x $10^3$kip$-$ft$^3/$EI

w$=2$klf

F$=0$kip

L$=15$ft

EI$=$constant

$($Select from one the following$)$

Option A: $1\mathrm{.}1$ downward

Option B: $3\mathrm{.}4$ upward

Option C: $0\mathrm{.}84$ upward

Option D: $0\mathrm{.}84$ downward

Option E: $1\mathrm{.}1$ upward

Option F: $3\mathrm{.}4$ downward

PART $3$

The deflection at the free end is mostly near$\_\_\_\_\_\_$x $10^3$kip$-$ft$^3/$EI

w$=0$klf

F$=5$kip

L$=15$ft

EI$=$constant

$($Select from one the following$)$

Option A: $3\mathrm{.}4$ downward

Option B: $5\mathrm{.}6$ upward

Option C: $2\mathrm{.}8$ downward

Option D: $3\mathrm{.}4$ upward

Option E: $2\mathrm{.}8$ upward

Option F: $1\mathrm{.}1$ downward

Option G: $5\mathrm{.}6$ downward

Option H: $1\mathrm{.}1$ upward