JEE Main 2021 — Laws of Motion Question with Solution

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

Suppose the force is $\overrightarrow{P}$ 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 : $\sin \left(35°\right)=0.573,\cos \left(35°\right)=0.819, \sin \left(110°\right)=0.939,\cos \left(110°\right)=-0.342$]