open to atruosplere

Required: $-$compute Horizontal $+$ Vertizal Component forces

Req'd. to hold Block in Eqllom

Compute resultant force $+$ sirection

Assumptions: $x$ Steady $+$ Incompreasible plow

$B=1\mathrm{.}0,$ IEGNORE Block $+$ WATER waight

$h=0$

Solution: $(1)$ Identios control volumet Control surfanes

$(2)$ Draw FBD

Velocity Cou,

$($a$)$ Cs $(2)$

$v_{2x}=v_{2}sin30$

$=0\mathrm{.}5v_2=12\mathrm{.}5f\frac{t}{s}$

$x-$Direction:

${\displaystyle \underset{0}{\overset{?}{}}}{f}_x={\displaystyle \underset{\text{o}\text{u}\text{t}}{\overset{?}{}}}Bin{v}_x-{\displaystyle \underset{?}{\overset{?}{}}}Bin{v}_x$

$=>-R_x=B_2^{1\mathrm{.}0}{m}_2^{}{v}_{2x}-{}_1^T{m}_1^{}{?}^{1\mathrm{.}0}{v}_{y}0$

$=>-R_x=(\frac{0\mathrm{.}81\text{s}\text{l}\text{u}\text{s}\text{s}}{5})(12\mathrm{.}5f\frac{t}{s})$

$=>k_x=-10\mathrm{.}13ls(lon)$

$=>k_x=10\mathrm{.}13lb()$

$x-$Dinection:

$f_y={\displaystyle \underset{\text{a}\text{u}\text{t}}{\overset{?}{}}}{m}^{}{v}_y-BI{n}^{}{v}_y$

$=>R_y=B_2^{1\mathrm{.}0}{m}_2^{}{v}_{2y}-B_1^{1,0}m,v_{1}y$

$=m^{}(v_{2}y-v_{1}y)$

$B_y=(0\mathrm{.}81\frac{\text{s}\text{l}\text{u}\text{g}\text{s}}{s})(21\mathrm{.}65f\frac{t}{s}-(-25f\frac{t}{s}))$

$R_y=37\mathrm{.}79lb(T)$

Resultant force $+$ Direction

$R=\sqrt[\phantom{2}]{R_x^2+R2}$

$R=\sqrt[\phantom{2}]{(10\mathrm{.}13lb{)}^2+(37\mathrm{.}79lb{)}^2}$

$R=39\mathrm{.}13ll$

$=ta{n}^{-1}(\frac{R_y}{R_x})$

$=Ta{n}^{-1}(\frac{37\mathrm{.}79lb}{10\mathrm{.}13lb})$

$=74\mathrm{.}99ccW$

$R=39\mathrm{.}13$ es @$74\mathrm{.}99$ Conter clactuize from positive $x-$Avis