1
JEE Advanced 2024 Paper 1 Online
Numerical
+4
-0
A thin uniform rod of length $L$ and certain mass is kept on a frictionless horizontal table with a massless string of length $L$ fixed to one end (top view is shown in the figure). The other end of the string is pivoted to a point $\mathrm{O}$. If a horizontal impulse $P$ is imparted to the rod at a distance $x={L \over n}$ from the mid-point of the rod (see figure), then the rod and string revolve together around the point $\mathrm{O}$, with the rod remaining aligned with the string. In such a case, the value of $n$ is ___________.
![JEE Advanced 2024 Paper 1 Online Physics - Rotational Motion Question 4 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lwpw4iwg/6ed26d3c-fc6f-4585-97c1-9d40785656ac/c449db00-1ca9-11ef-a7f1-8b6b33c30c4d/file-6y3zli1lwpw4iwh.png?format=png)
![JEE Advanced 2024 Paper 1 Online Physics - Rotational Motion Question 4 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lwpw4iwg/6ed26d3c-fc6f-4585-97c1-9d40785656ac/c449db00-1ca9-11ef-a7f1-8b6b33c30c4d/file-6y3zli1lwpw4iwh.png?format=png)
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2
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 $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ ]
![JEE Advanced 2023 Paper 2 Online Physics - Rotational Motion Question 7 English](https://app-content.cdn.examgoal.net/fly/@width/image/1liipp0e3/3734b048-5aac-4d5c-80d2-9b7898ad36d7/1a3a57c0-038c-11ee-add3-0f52d4fe427d/file-1liipp0e4.png?format=png)
[Given: The acceleration due to gravity $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ ]
![JEE Advanced 2023 Paper 2 Online Physics - Rotational Motion Question 7 English](https://app-content.cdn.examgoal.net/fly/@width/image/1liipp0e3/3734b048-5aac-4d5c-80d2-9b7898ad36d7/1a3a57c0-038c-11ee-add3-0f52d4fe427d/file-1liipp0e4.png?format=png)
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3
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 _________ .
![JEE Advanced 2023 Paper 1 Online Physics - Rotational Motion Question 6 English](https://app-content.cdn.examgoal.net/fly/@width/image/1liipqvuq/86cd9850-fadf-45c5-9672-39027c75df3b/4e571a20-038c-11ee-add3-0f52d4fe427d/file-1liipqvur.png?format=png)
![JEE Advanced 2023 Paper 1 Online Physics - Rotational Motion Question 6 English](https://app-content.cdn.examgoal.net/fly/@width/image/1liipqvuq/86cd9850-fadf-45c5-9672-39027c75df3b/4e571a20-038c-11ee-add3-0f52d4fe427d/file-1liipqvur.png?format=png)
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4
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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Questions Asked from Rotational Motion (Numerical)
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JEE Advanced 2024 Paper 1 Online (2)
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