Problem $5(3$ pts$)$: Given the $1$ DOF slider mechanism shown below $($not to scale$).$ Use vector loop Problem $5(3$ pts$)$: Given the $1$ DoF slider mechaniem shown belon $($not to scate$)$ Use vector loop

equations to solve. Show your work vector loop equations and you equations for thes and v directions. You

may use STW to check your auswers

With the ongin at $Q,=50$ and $\frac{?}{{?}_{A}BC}=79.$

a$)$ Find leagth $AB(L_{AB})$ using trigonometry

b$)$ Krowing and $L_{\text{a}\text{b}\text{e}}$ white Vector loopequations and equations for eactiof the vectors using variables:

Q$,{}_4,I_{4,b}$ and ${?}_{|}{?}_{{?}_{?}}(BC)$

c$)$ Solve fon and Esc

equations to solve. Show your work vector loop equations and your equations for the $x$ and $y$ directions. You

may use SW to check your answers.

With the origin at $O,=50$ and $\frac{?}{{?}_{A}BC}=70.$

a$)$ Find length $AB(L_{AB})$ using trigonometry

b$)$ Knowing $$ and $L_{AB},$ write Vector loop equations, and equations for each of the vectors, using variables:

$,{}_2,L_{AB}$ and $L_{BC}$

c$)$ Solve for ${}_2$ and $L_{BC}{?}_{?}$