Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A

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4-1.Newton's Laws of Motion

hard

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 $100 \;N$ 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 : $\sin \left(35^{\circ}\right)=0.573, \cos \left(35^{\circ}\right)=0.819$ $\left.\sin \left(110^{\circ}\right)=0.939, \cos \left(110^{\circ}\right)=-0.342\right]$

A

$82$

B

$72$

C

$87$

D

$78$

(JEE MAIN-2021)

Solution

Component along $AC$

$=100 \cos 35^{\circ} N$

$=100 \times 0.819 N$

$=81.9 N$

$\approx 82 N$

Standard 11

Physics

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