1
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes
perpendicular to the sheet and passing through O (the centre of mass) and O' (corner point) is :
![JEE Main 2020 (Online) 4th September Evening Slot Physics - Rotational Motion Question 112 English](https://imagex.cdn.examgoal.net/jgy2xukfavsssy/867e4c46-7e0a-42b0-bed4-407149725c32/4567bb20-fb21-11ea-8293-3b6cc591631c/file-jgy2xukfavsssz-276w.png)
![JEE Main 2020 (Online) 4th September Evening Slot Physics - Rotational Motion Question 112 English](https://imagex.cdn.examgoal.net/jgy2xukfavsssy/867e4c46-7e0a-42b0-bed4-407149725c32/4567bb20-fb21-11ea-8293-3b6cc591631c/file-jgy2xukfavsssz-276w.png)
2
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
A uniform rod of length ‘$$l$$’ is pivoted at one of its ends on a vertical shaft of negligible radius.
When the shaft rotates at angular speed $$\omega $$ the rod makes an angle $$\theta $$ with it (see figure). To find $$\theta $$
equate the rate of change of angular momentum (direction going into the paper) $${{m{l^2}} \over {12}}{\omega ^2}\sin \theta \cos \theta $$
about the centre of mass (CM) to the torque provided by the horizontal and vertical forces FH
and
FV
about the CM. The value of $$\theta $$ is then such that :
![JEE Main 2020 (Online) 3rd September Evening Slot Physics - Rotational Motion Question 117 English](https://imagex.cdn.examgoal.net/jgy2xukf3u5fzu/de535b3d-6241-4a0a-9077-0fb3255f0686/5639b9a0-f741-11ea-8293-3b6cc591631c/file-jgy2xukf3u5fzv-233w.png)
![JEE Main 2020 (Online) 3rd September Evening Slot Physics - Rotational Motion Question 117 English](https://imagex.cdn.examgoal.net/jgy2xukf3u5fzu/de535b3d-6241-4a0a-9077-0fb3255f0686/5639b9a0-f741-11ea-8293-3b6cc591631c/file-jgy2xukf3u5fzv-233w.png)
3
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Moment of inertia of a cylinder of mass M,
length L and radius R about an axis passing
through its centre and perpendicular to the
axis of the cylinder is
I = $$M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)$$. If such a cylinder is to be made for a given mass of a material, the ratio $${L \over R}$$ for it to have minimum possible I is
I = $$M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)$$. If such a cylinder is to be made for a given mass of a material, the ratio $${L \over R}$$ for it to have minimum possible I is
4
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Two uniform circular discs are rotating
independently in the same direction around
their common axis passing through their
centres. The moment of inertia and angular
velocity of the first disc are 0.1 kg-m2 and 10
rad s–1 respectively while those for the second
one are 0.2 kg-m2 and 5 rad s–1 respectively. At
some instant they get stuck together and start
rotating as a single system about their common
axis with some angular speed. The kinetic
energy of the combined system is :
Questions Asked from Rotational Motion (MCQ (Single Correct Answer))
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