A horizontal bar is attached to a wall. When a force of $1$ kN is applied at point $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )($Figure $1),$ the deflection at point $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ is $\backslash (\backslash$delta$\_\{$A A$\}=\backslash )0\mathrm{.}43$ mm $.$ When a $1$ kN force is applied at point $\backslash (\backslash$boldsymbol$\{$B$\}\backslash )($Figure $2),$ the deflection at point $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ is $\backslash (\backslash$delta$\_\{$A B$\}=0\mathrm{.}21\backslash$mathrm$\{$~mm$\}\backslash ).($A given deformation due to a unit load is known as a flexibility factor.$)$

Part A $-$ Larger load

What is the change in the length of the bar if there is a single load of $7$ kN applied to the right at point $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )?$ Use a positive value to indicate an increase in length.

Express your answer in mm to three significant figures.

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$\backslash [$

$\backslash$Delta L$=\backslash$square $\backslash$quad $\backslash$mathrm$\{$mm$\}$

$\backslash ]$

Part B $-$ Combined loads

What is the change in the length of the bar if a load of $5\mathrm{.}6$ kN is applied to the left at $\backslash ($ A $\backslash )$ and a load of $11\mathrm{.}4$ kN is applied to the right at $\backslash ($ B $\backslash )?$ Use a positive value to indicate an increase in length.

Express your answer in mm to three significant figures.

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Part B$-$Combined loads

Part C $-$ Required load

If a load of $5\mathrm{.}1$ kN is applied to the right at point $\backslash (\backslash$boldsymbol$\{$B$\}\backslash ),$ then what load magnitude must be applied to the left at point $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ to make the length of the bar remain unchanged?

Express your answer in kN to three significant figures.

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$\backslash [$

F$\_\{$A$\}=$

$\backslash ]$