A rigid massless rod of length $6\ L$ is suspended horizontally by means of two elasticrods $PQ$ and $RS$ as given figure. Their area of cross section, young's modulus and lengths are mentioned in figure. Find deflection of end $S$ in equilibrium state. Free end of rigid rod is pushed down by a constant force . $A$ is area of cross section, $Y$ is young's modulus of elasticity
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In equilibrium condition
$S_{Q}=\frac{T_{s}\left(\frac{3 L}{2}\right)}{2 A(2 Y)}=\frac{9 F L}{8 A Y}$
$\mathrm{F}=\mathrm{T}_{\mathrm{S}}-\mathrm{T}_{\mathrm{Q}}$
$\mathrm{F}(6 \mathrm{L})=\mathrm{T}_{\mathrm{D}}(2 \mathrm{L})$
$\mathrm{T}_{\mathrm{S}}=3 \mathrm{F}$
$\mathrm{T}_{Q}=2 \mathrm{F}$
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