Question 38 of 210

Consider a frame that is made up of two thin massless rods $AB$ and $AC$ as shown in the figure. A vertical force $\vec{P}$ of magnitude $100N$ is applied at point $A$ of the frame.

Suppose the force is $\vec{P}$ resolved parallel to the arms $AB$ and $AC$ of the frame. The magnitude of the resolved component along the arm $AC$ is $xN$. The value of $x$, to the nearest integer, is ________.
[Given : $\sin \left(35^{\circ}\right)=0.573,\cos \left(35^{\circ}\right)=0.819,\sin \left(110^{\circ}\right)=0.939,\cos \left(110^{\circ}\right)=-0.342$]

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Answer: 82

Component along $AC$
$=100\cos 35^{\circ}N$
$=100\times 0.819N$
$=81.9N$
$\approx 82N$