System of Particles and Rotational Motion

JEE Advanced · Physics · 53 past questions

1. Q1 2026 Paper 1

   Consider a large disk of radius $R$ and two smaller disks, each of radius $r = R/50$, lying on its… (with a figure)

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2. Q2 2026 Paper 2

   Question Stem for Question Nos. 17 and 18… (with a figure)

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3. Q3 2026 Paper 2

   Question Stem for Question Nos. 17 and 18… (with a figure)

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4. Q4 2024 Paper 1

   A disc of mass $M$ and radius $R$ is free to rotate about its vertical axis as shown in the figure. A battery… (with a figure)

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5. Q5 2023 Paper 1

   A bar of mass $M = 1.00$ kg and length $L = 0.20$ m is lying on a horizontal frictionless surface. One end of…

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6. Q6 2023 Paper 2

   An annular disk of mass $M$, inner radius $a$ and outer radius $b$ is placed on a horizontal surface with… (with a figure)

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7. Q7 2023 Paper 2

   A thin circular coin of mass 5 gm and radius $4/3$ cm is initially in a horizontal $xy$-plane. The coin is… (with a figure)

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8. Q8 2022 Paper 1

   At time $t = 0$, a disk of radius 1 $m$ starts to roll without slipping on a horizontal plane with an angular…

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9. Q9 2022 Paper 1

   A solid sphere of mass 1 $kg$ and radius 1 $m$ rolls without slipping on a fixed inclined plane with an angle… (with a figure)

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10. Q10 2022 Paper 2

    A flat surface of a thin uniform disk $A$ of radius $R$ is glued to a horizontal table. Another thin uniform… (with a figure)

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11. Q11 2021 Paper 1

    A horizontal force $F$ is applied at the center of mass of a cylindrical object of mass $m$ and radius $R$… (with a figure)

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12. Q12 2021 Paper 1

    A particle of mass $M = 0.2$ kg is initially at rest in the $xy$-plane at a point ($x = -l$, $y = -h$), where…

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13. Q13 2021 Paper 1

    A thin rod of mass $M$ and length $a$ is free to rotate in horizontal plane about a fixed vertical axis… (with a figure)

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14. Q14 2021 Paper 2

    One end of a horizontal uniform beam of weight $W$ and length $L$ is hinged on a vertical wall at point $O$… (with a figure)

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15. Q15 2020 Paper 1

    A football of radius $R$ is kept on a hole of radius $r$ ($r < R$) made on a plank kept horizontally. One end… (with a figure)

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16. Q16 2020 Paper 1

    A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is on a… (with a figure)

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17. Q17 2020 Paper 2

    A rod of mass $m$ and length $L$, pivoted at one of its ends, is hanging vertically. A bullet of the same… (with a figure)

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18. Q18 2019 Paper 2

    A thin and uniform rod of mass $M$ and length $L$ is held vertical on a floor with large friction. The rod is…

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19. Q19 2018 Paper 1

    Consider a body of mass $1.0\ kg$ at rest at the origin at time $t = 0$. A force…

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20. Q20 2018 Paper 1

    A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle…

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21. Q21 2017 Paper 1

    A block of mass $M$ has a circular cut with a frictionless surface as shown. The block rests on the… (with a figure)

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22. Q22 2017 Paper 2

    Consider regular polygons with number of sides $n = 3, 4, 5\ldots\ldots$ as shown in the figure. The center… (with a figure)

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23. Q23 2017 Paper 2

    A rigid uniform bar AB of length $L$ is slipping from its vertical position on a frictionless floor (as shown… (with a figure)

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24. Q24 2017 Paper 2

    One twirls a circular ring (of mass $M$ and radius $R$) near the tip of one's finger as shown in Figure 1. In… (with a figure)

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25. Q25 2016 Paper 1

    A uniform wooden stick of mass 1.6 kg and length $l$ rests in an inclined manner on a smooth, vertical wall…

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26. Q26 2016 Paper 1

    The position vector $\vec r$ of a particle of mass $m$ is given by the following equation…

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27. Q27 2016 Paper 2

    Two thin circular discs of mass $m$ and $4m$, having radii of $a$ and $2a$, respectively, are rigidly fixed… (with a figure)

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28. Q28 2015 Paper 1

    Two identical uniform discs roll without slipping on two different surfaces $AB$ and $CD$ (see figure)… (with a figure)

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29. Q29 2015 Paper 1

    A ring of mass $M$ and radius $R$ is rotating with angular speed $\omega$ about a fixed vertical axis passing… (with a figure)

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30. Q30 2015 Paper 2

    The densities of two solid spheres $A$ and $B$ of the same radii $R$ vary with radial distance $r$ as…

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31. Q31 2014 Paper 1

    A uniform circular disc of mass $1.5\,kg$ and radius $0.5\,m$ is initially at rest on a horizontal… (with a figure)

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32. Q32 2014 Paper 1

    A horizontal circular platform of radius 0.5 $m$ and mass 0.45 $kg$ is free to rotate about its axis. Two… (with a figure)

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33. Q33 2013 Paper 1

    A uniform circular disc of mass 50 $kg$ and radius 0.4 $m$ is rotating with an angular velocity of 10…

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34. Q34 2012 Paper 1

    A thin uniform rod, pivoted at $O$, is rotating in the horizontal plane with constant angular speed $\omega$… (with a figure)

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35. Q35 2012 Paper 1

    A small mass $m$ is attached to a massless string whose other end is fixed at $P$ as shown in the figure. The… (with a figure)

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36. Q36 2012 Paper 1

    A lamina is made by removing a small disc of diameter $2R$ from a bigger disc of uniform mass density and… (with a figure)

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37. Q37 2012 Paper 2

    The general motion of a rigid body can be considered to be a combination of (i) a motion of its centre of… (with a figure)

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38. Q38 2012 Paper 2

    The general motion of a rigid body can be considered to be a combination of (i) a motion of its centre of… (with a figure)

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39. Q39 2012 Paper 2

    Two solid cylinders $P$ and $Q$ of same mass and same radius start rolling down a fixed inclined plane from…

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40. Q40 2012 Paper 2

    The figure shows a system consisting of (i) a ring of outer radius $3R$ rolling clockwise without slipping on… (with a figure)

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41. Q41 2011 Paper 1

    A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies… (with a figure)

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42. Q42 2011 Paper 1

    Four solid spheres each of diameter $\sqrt{5}$ cm and mass 0.5 kg are placed with their centers at the…

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43. Q43 2011 Paper 2

    A thin ring of mass 2 kg and radius 0.5 m is rolling without slipping on a horizontal plane with velocity 1… (with a figure)

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44. Q44 2010 Paper 1

    A binary star consists of two stars A (mass $2.2M_s$) and B (mass $11M_s$), where $M_s$ is the mass of the…

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45. Q45 2010 Paper 2

    Paragraph for Questions 53 to 55.…

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46. Q46 2009 Paper 1

    Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of… (with a figure)

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47. Q47 2009 Paper 2

    A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of… (with a figure)

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48. Q48 2008 Paper 1

    STATEMENT-1…

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49. Q49 2007 Paper 1

    The ratio $x_1/x_2$ is

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50. Q50 2007 Paper 1

    When disc B is brought in contact with disc A, they acquire a common angular velocity in time $t$. The…

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51. Q51 2007 Paper 1

    The loss of kinetic energy during the above process is

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52. Q52 2007 Paper 2

    A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches up to a… (with a figure)

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53. Q53 2007 Paper 2

    STATEMENT-1…

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