1
JEE Advanced 2023 Paper 2 Online
Numerical
+4
-0
A thin circular coin of mass $5 \mathrm{gm}$ and radius $4 / 3 \mathrm{~cm}$ is initially in a horizontal $x y$-plane. The coin is tossed vertically up ( $+z$ direction) by applying an impulse of $\sqrt{\frac{\pi}{2}} \times 10^{-2} \mathrm{~N}$-s at a distance $2 / 3 \mathrm{~cm}$ from its center. The coin spins about its diameter and moves along the $+z$ direction. By the time the coin reaches back to its initial position, it completes $n$ rotations. The value of $n$ is ________.
[Given: The acceleration due to gravity $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ ]

[Given: The acceleration due to gravity $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ ]

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2
JEE Advanced 2023 Paper 1 Online
Numerical
+4
-0
Two point-like objects of masses $20 ~\mathrm{gm}$ and $30 ~\mathrm{gm}$ are fixed at the two ends of a rigid massless rod of length $10 \mathrm{~cm}$. This system is suspended vertically from a rigid ceiling using a thin wire attached to its center of mass, as shown in the figure. The resulting torsional pendulum undergoes small oscillations. The torsional constant of the wire is $1.2 \times 10^{-8} \mathrm{~N} \mathrm{~m} ~\mathrm{rad}^{-1}$. The angular frequency of the oscillations in $n \times 10^{-3} ~\mathrm{rad} ~\mathrm{s}^{-1}$. The value of $n$ is _________ .


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3
JEE Advanced 2022 Paper 1 Online
Numerical
+3
-0
At time $t=0$, a disk of radius $1 \mathrm{~m}$ starts to roll without slipping on a horizontal plane with an angular acceleration of $\alpha=\frac{2}{3} \mathrm{rad} \,\mathrm{s}^{-2}$. A small stone is stuck to the disk. At $t=0$, it is at the contact point of the disk and the plane. Later, at time $t=\sqrt{\pi} \,s$, the stone detaches itself and flies off tangentially from the disk. The maximum height (in $m$ ) reached by the stone measured from the plane is $\frac{1}{2}+\frac{x}{10}$. The value of $x$ is ____________ , [Take $g=10 \mathrm{~m} \mathrm{~s}^{-2}$.]
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4
JEE Advanced 2022 Paper 1 Online
Numerical
+3
-0
A solid sphere of mass $1 \mathrm{~kg}$ and radius $1 \mathrm{~m}$ rolls without slipping on a fixed inclined plane with an angle of inclination $\theta=30^{\circ}$ from the horizontal. Two forces of magnitude $1 \mathrm{~N}$ each, parallel to the incline, act on the sphere, both at distance $r=0.5 \mathrm{~m}$ from the center of the sphere, as shown in the figure. The acceleration of the sphere down the plane is _________ $m \,s^{-2} .\left(\right.$ Take $g=10\, m s^{-2}$)
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Questions Asked from Rotational Motion (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2023 Paper 2 Online (1)
JEE Advanced 2023 Paper 1 Online (1)
JEE Advanced 2022 Paper 1 Online (2)
JEE Advanced 2021 Paper 1 Online (1)
JEE Advanced 2018 Paper 1 Offline (2)
JEE Advanced 2015 Paper 2 Offline (1)
JEE Advanced 2015 Paper 1 Offline (1)
JEE Advanced 2014 Paper 1 Offline (2)
JEE Advanced 2013 Paper 1 Offline (1)
IIT-JEE 2011 Paper 1 Offline (2)
JEE Advanced Subjects
Physics
Mechanics
Units & Measurements
Motion
Laws of Motion
Work Power & Energy
Impulse & Momentum
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation
Electricity
Optics
Modern Physics
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Physical Chemistry
Some Basic Concepts of Chemistry
Structure of Atom
Redox Reactions
Gaseous State
Equilibrium
Solutions
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Solid State & Surface Chemistry
Inorganic Chemistry
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s-Block Elements
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d and f Block Elements
Coordination Compounds
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