Consider a frame that is made up of two thin massless rods $\mathrm{AB}$ and $\mathrm{AC}$ as shown in the figure. A vertical force $\overrightarrow{\mathrm{P}}$ of magnitude $100 \mathrm{~N}$ is applied at point $\mathrm{A}$ of the frame.
Suppose the force is $\overrightarrow{\mathrm{P}}$ resolved parallel to the arms $\mathrm{AB}$ and $\mathrm{AC}$ of the frame. The magnitude of the resolved component along the arm $\mathrm{AC}$ is $\mathrm{xN}$.
The value of $\mathrm{x}$, to the nearest integer, is______
$\left[\right.$ Given : $\sin \left(35^{\circ}\right)=0.573, \cos \left(35^{\circ}\right)=0.819$
$\left.\sin \left(110^{\circ}\right)=0.939, \cos \left(110^{\circ}\right)=-0.342\right]$
Component along $\mathrm{AC}$
$=100 \cos 35^{\circ} \mathrm{N}$
$=100 \times 0.819 \mathrm{~N}$
$=81.9 \mathrm{~N}$
$\approx 82 \mathrm{~N}$
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