1
JEE Main 2024 (Online) 27th January Evening Shift
+4
-1

A heavy iron bar of weight $$12 \mathrm{~kg}$$ is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle $$60^{\circ}$$ with the horizontal, the weight experienced by the man is :

A
$$3 \mathrm{~kg}$$
B
$$6 \mathrm{~kg}$$
C
$$6 \sqrt{3} \mathrm{~kg}$$
D
$$12 \mathrm{~kg}$$
2
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1

A disc is rolling without slipping on a surface. The radius of the disc is $$R$$. At $$t=0$$, the top most point on the disc is $$\mathrm{A}$$ as shown in figure. When the disc completes half of its rotation, the displacement of point A from its initial position is

A
$$R\sqrt {({\pi ^2} + 1)}$$
B
$$2R$$
C
$$R\sqrt {({\pi ^2} + 4)}$$
D
$$2R\sqrt {(1 + 4{\pi ^2})}$$
3
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$

Assertion A : An electric fan continues to rotate for some time after the current is switched off.

Reason R : Fan continues to rotate due to inertia of motion.

In the light of above statements, choose the most appropriate answer from the options given below.

A
A is not correct but R is correct
B
A is correct but R is not correct
C
Both A and R are correct and R is the correct explanation of A
D
Both A and R are correct but R is NOT the correct explanation of A
4
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1

The torque of a force $$5 \hat{i}+3 \hat{j}-7 \hat{k}$$ about the origin is $$\tau$$. If the force acts on a particle whose position vector is $$2 i+2 j+k$$, then the value of $$\tau$$ will be

A
$$11 \hat{i}+19 \hat{j}-4 \hat{k}$$
B
$$-11 \hat{i}+9 \hat{j}-16 \hat{k}$$
C
$$-17 \hat{i}+19 \hat{j}-4 \hat{k}$$
D
$$17 \hat{i}+9 \hat{j}+16 \hat{k}$$
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