Consider a frame that is made up of two thin massless rods AB and AC… | JEE Main 2021 (16 Mar, Shift 1)

Q26JEE Main 2021 · 16 MAR · SHIFT 1Medium

Torque, Couple & Equilibrium of Rigid Bodies

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 100 N is applied at point A of the frame.

Suppose the force $\vec{P}$ is 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(35 $^\circ$ ) = 0.573, cos(35 $^\circ$ ) = 0.819

sin(110 $^\circ$ ) = 0.939, cos(110 $^\circ$ ) = $-$ 0.342]

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 82

The angle at C between rod CA and the wall is $145^\circ$ , so AC makes $180^\circ - 145^\circ = 35^\circ$ with the vertical.
$\vec{P}$ is vertical, so the angle between $\vec{P}$ and arm AC is $35^\circ$ .
Component along AC $= P\cos 35^\circ = 100 \times 0.819 = 81.9$ N
So $x \approx 82$ .

Report a mistake

Torque, Couple & Equilibrium of Rigid Bodies question from JEE Main 2021 (16 Mar, Shift 1)

More questions on Torque, Couple & Equilibrium of Rigid Bodies