Learn

Friday, 9 October

JEE Main Physics · Class 11

System of Particles and Rotational Motion: JEE Main previous year questions

System of Particles and Rotational Motion had 66 questions in the 42 JEE Main shifts Lumi analysed, about 1.5 a shift, asked in 39 of 42 shifts. It ranks 2 of 29 Physics chapters by questions; 9% of its questions were hard.

Questions
66
in 39 of 42 shifts
A shift, on average
1.5
of 25 Physics questions
Since 2024
-0.1
1.5 a shift in 2017–23, 1.4 in 2024–26
Numerical answer
27
41% of its questions

Year by year

How often it came

Questions in the analysed shifts of each year. Years differ in how many shifts Lumi analysed, so read the bars with the shift count.

Questions each year
07142’179’209’215’224’2312’2414’2511’26

2017: 1 shifts · 2020: 4 shifts · 2021: 4 shifts · 2022: 4 shifts · 2023: 4 shifts · 2024: 8 shifts · 2025: 8 shifts · 2026: 9 shifts

Difficulty by year
  • 20172
  • 20209
  • 20219
  • 20225
  • 20234
  • 202412
  • 202514
  • 202611
  • Easy
  • Medium
  • Hard

Inside the chapter

Topics and the ideas that repeat

6 topics and 37 distinct ideas; 11 ideas were asked more than once. Most questions are single correct and multi-step.

Topics, by questions

12 questions had no close topic in our taxonomy and are counted for the chapter only.

Ideas asked most
11 repeat

Every question

All 66 System of Particles and Rotational Motion questions

Newest first. Each opens with its options and the official answer.

2026 11 questions

  1. 2 Apr 2026, Shift 1 · Q29The position of an object having mass 0.10.1 kg as a function of time tt is given as r⃗=(10t2i^+5t3j^)\vec r=\left(10t^2\hat i+5t^3\hat j\right) m. At…MediumOther
  2. 2 Apr 2026, Shift 1 · Q31A particle is rotating in a circular path and at any instant its motion can be described as θ=5t440−t33\theta=\frac{5t^4}{40}-\frac{t^3}{3}. The…EasySingle correct
  3. 2 Apr 2026, Shift 2 · Q50Moment of inertia about an axis ABAB for a rod of mass 40 kg and length 3 m is same as that of a solid sphere of mass of 10 kg and radius…MediumNumerical valueHas a figure
  4. 4 Apr 2026, Shift 1 · Q30A solid sphere of mass MM and radius RR is divided into two unequal parts. The smaller part having mass M/8M/8 is converted into a sphere…MediumSingle correct
  5. 5 Apr 2026, Shift 2 · Q30A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an angle…EasySingle correct
  6. 5 Apr 2026, Shift 2 · Q31An object of uniform density rolls up the curved path with the initial velocity v0v_0 as shown in the figure. If the maximum height…MediumDiagram basedHas a figure
  7. 6 Apr 2026, Shift 1 · Q31A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an angular…MediumSingle correct
  8. 6 Apr 2026, Shift 1 · Q33The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point (pp) of normal bisector, as shown in…EasySingle correctHas a figure
  9. 6 Apr 2026, Shift 2 · Q28A solid sphere (AA) of mass 5m5m and a spherical shell (BB) of mass mm, both having same radius, are placed on a rough surface. When a…HardSingle correct
  10. 6 Apr 2026, Shift 2 · Q32Two identical bodies A and B of equal masses have initial velocities v⃗1=4i^\vec{v}_1=4\hat{i} m/s and v⃗2=4j^\vec{v}_2=4\hat{j} m/s respectively.…MediumSingle correct
  11. 8 Apr 2026, Shift 2 · Q32A solid cylinder having radius RR and length LL is slipping on a rough horizontal plane. At time t=0t = 0 the cylinder has a…HardSingle correct

2025 14 questions

  1. 2 Apr 2025, Shift 1 · Q28A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The mass of wheel is 10 kg and…MediumSingle correctHas a figure
  2. 2 Apr 2025, Shift 1 · Q30A square Lamina OABC of length 10 cm is pivoted at 'O'. Forces act at Lamina as shown in figure. If Lamina remains stationary, then the…MediumSingle correctHas a figure
  3. 2 Apr 2025, Shift 1 · Q32Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and normal to its length is 'α\alpha'. Now…MediumSingle correct
  4. 2 Apr 2025, Shift 2 · Q28The moment of inertia of a circular ring of mass MM and diameter rr about a tangential axis lying in the plane of the ring is :EasySingle correct
  5. 2 Apr 2025, Shift 2 · Q46A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in…EasyNumerical valueHas a figure
  6. 3 Apr 2025, Shift 1 · Q31A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg, kept on a rough horizontal plane. If the sphere…HardDiagram basedHas a figure
  7. 4 Apr 2025, Shift 2 · Q28A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is 8 m/s. The speed of the particle on the…EasySingle correct
  8. 4 Apr 2025, Shift 2 · Q50A solid sphere with uniform density and radius R is rotating initially with constant angular velocity (ω1)(\omega_1) about its diameter.…MediumNumerical value
  9. 7 Apr 2025, Shift 1 · Q29A rod of length 5 L is bent right angle keeping one side length as 2 L. The position of the centre of mass of the system: (Consider L = 10…EasySingle correctHas a figure
  10. 7 Apr 2025, Shift 1 · Q46A, B and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.…HardNumerical valueHas a figure
  11. 7 Apr 2025, Shift 2 · Q46MM and RR be the mass and radius of a disc. A small disc of radius R3\frac{R}{3} is removed from the bigger disc as shown in figure. The…MediumNumerical valueHas a figure
  12. 8 Apr 2025, Shift 2 · Q28A rod of linear mass density 'λ\lambda' and length 'L' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its…MediumSingle correct
  13. 8 Apr 2025, Shift 2 · Q46A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of an uniform rigid rod of 27 cm long. The rod along…HardNumerical value
  14. 8 Apr 2025, Shift 2 · Q47A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm. By applying an external torque of 25π25\pi Nm for…MediumNumerical value

2024 12 questions

  1. 6 Apr 2024, Shift 2 · Q56Three balls of masses 2 kg, 4 kg and 6 kg respectively are arranged at centre of the edges of an equilateral triangle of side 2 m. The…MediumNumerical value
  2. 8 Apr 2024, Shift 1 · Q33A stationary particle breaks into two parts of masses mAm_A and mBm_B which move with velocities vAv_A and vBv_B respectively. The ratio…EasySingle correct
  3. 8 Apr 2024, Shift 1 · Q52A uniform thin metal plate of mass 10 kg with dimensions is shown. The ratio of xx and yy coordinates of center of mass of plate in…MediumNumerical valueHas a figure
  4. 9 Apr 2024, Shift 1 · Q33A heavy iron bar, of weight W is having its one end on the ground and the other on the shoulder of a person. The bar makes an angle…EasySingle correct
  5. 9 Apr 2024, Shift 1 · Q52A string is wrapped around the rim of a wheel of moment of inertia 0.40 kgm20.40\ \mathrm{kgm^2} and radius 1010 cm. The wheel is free to rotate…EasyNumerical value
  6. 9 Apr 2024, Shift 2 · Q33A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:12:1. After disintegration they will move :EasySingle correct
  7. 9 Apr 2024, Shift 2 · Q58A circular disc reaches from top to bottom of an inclined plane of length ll. When it slips down the plane, if takes tt s. When it rolls…MediumNumerical value
  8. 29 Jan 2024, Shift 1 · Q52A cylinder is rolling down on an inclined plane of inclination 60∘60^\circ. It's acceleration during rolling down will be…MediumNumerical value
  9. 30 Jan 2024, Shift 2 · Q52Two discs of moment of inertia I1=4 kg m2I_1 = 4\ kg\,m^2 and I2=2 kg m2I_2 = 2\ kg\,m^2, about their central axes & normal to their planes, rotating with…EasyNumerical value
  10. 31 Jan 2024, Shift 1 · Q35An artillery piece of mass M1M_1 fires a shell of mass M2M_2 horizontally. Instantaneously after the firing, the ratio of kinetic energy…EasySingle correct
  11. 31 Jan 2024, Shift 1 · Q52A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of mass has a speed of 0.4 m/s. The absolute value…MediumNumerical value
  12. 31 Jan 2024, Shift 2 · Q52Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light rod so that the separation between the centers…MediumNumerical value

2023 4 questions

  1. 6 Apr 2023, Shift 1 · Q60Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation between the centres of…MediumNumerical value
  2. 8 Apr 2023, Shift 2 · Q53A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3 m/s (as shown in figure). Maximum height…MediumNumerical valueHas a figure
  3. 11 Apr 2023, Shift 1 · Q58A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with angular speed of 10 rad s−1^{-1}. If the moment of…MediumNumerical value
  4. 13 Apr 2023, Shift 2 · Q52A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled with a force of 52.5 N. The angular…MediumNumerical value

2022 5 questions

  1. 25 Jul 2022, Shift 1 · Q35A solid cylinder and a solid sphere, having same mass MM and radius RR, roll down the same inclined plane from top without slipping.…MediumSingle correct
  2. 28 Jul 2022, Shift 1 · Q60Four identical discs each of mass 'M' and diameter 'a' are arranged in a small plane as shown in figure. If the moment of inertia of the…MediumNumerical valueHas a figure
  3. 24 Jun 2022, Shift 1 · Q60A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0…MediumNumerical value
  4. 29 Jun 2022, Shift 1 · Q32A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:21 : 1 : 2. Two smaller pieces fly off perpendicular to each…EasySingle correct
  5. 29 Jun 2022, Shift 1 · Q34A spherical shell of 1 kg mass and radius R is rolling with angular speed ω\omega on horizontal plane (as shown in figure). The magnitude…MediumSingle correctHas a figure

2021 9 questions

  1. 3 Aug 2021, Shift 2 · Q4A solid sphere of radius RR has mass MM. A rod of mass mm is attached tangentially to the sphere. What would be the moment of inertia…MediumSingle correct
  2. 3 Aug 2021, Shift 2 · Q7A solid sphere of mass MM and radius RR lies on a horizontal rough surface. A horizontal force FF is applied at the centre of the…MediumSingle correct
  3. 25 Jul 2021, Shift 1 · Q15Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Moment of inertia of…EasyAssertion–reason
  4. 25 Jul 2021, Shift 1 · Q21A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to move in the…MediumNumerical value
  5. 25 Jul 2021, Shift 1 · Q25A particle of mass 'mm' is moving in time 'tt' on a trajectory given by r⃗=10αt2i^+5β(t−5)j^\vec{r}=10\alpha t^2\hat{i}+5\beta(t-5)\hat{j} Where α\alpha…MediumNumerical value
  6. 16 Mar 2021, Shift 2 · Q24A force F⃗=4i^+3j^+4k^\vec{F}=4\hat{i}+3\hat{j}+4\hat{k} is applied on an intersection point of x=2x=2 plane and xx-axis. The magnitude of torque of…EasyNumerical value
  7. 16 Mar 2021, Shift 2 · Q25A solid disc of radius 'a' and mass 'm' rolls down without slipping on an inclined plane making an angle θ\theta with the horizontal. The…MediumNumerical valueHas a figure
  8. 18 Mar 2021, Shift 1 · Q20A thin circular ring of mass M and radius r is rotating about its axis with an angular speed ω\omega. Two particles having mass m each…EasySingle correct
  9. 18 Mar 2021, Shift 1 · Q22A ball of mass 10 kg moving with a velocity 10310\sqrt{3} m/s along the xx-axis, hits another ball of mass 20 kg which is at rest. After…MediumNumerical valueHas a figure

2020 9 questions

  1. 8 Jan 2020, Shift 1 · Q3The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg. (The coordinates of the same are shown…EasySingle correctHas a figure
  2. 8 Jan 2020, Shift 1 · Q4Consider a uniform rod of mass M = 4m and length ll pivoted about its centre. A mass m moving with velocity vv making angle…MediumSingle correct
  3. 9 Jan 2020, Shift 2 · Q3A uniformly thick wheel with moment of inertia II and radius RR is free to rotate about its centre of mass (see fig). A massless string…MediumSingle correctHas a figure
  4. 9 Jan 2020, Shift 2 · Q5A rod of length LL has non-uniform linear mass density given by ρ(x)=a+b(xL)2\rho(x) = a + b\left(\frac{x}{L}\right)^2, where aa and bb are…EasySingle correct
  5. 2 Sep 2020, Shift 1 · Q5A uniform cylinder of mass MM and radius RR is to be pulled over a step of height aa (a<Ra < R) by applying a force FF at its centre…MediumDiagram basedHas a figure
  6. 2 Sep 2020, Shift 1 · Q7Shown in the figure is rigid and uniform one meter long rod ABAB held in horizontal position by two strings tied to its ends and attached…EasyDiagram basedHas a figure
  7. 6 Sep 2020, Shift 2 · Q4Particle A of mass m1m_1 moving with velocity (3i^+j^) ms−1\left(\sqrt{3}\hat{i}+\hat{j}\right)\,\mathrm{ms^{-1}} collides with another particle B of…MediumSingle correct
  8. 6 Sep 2020, Shift 2 · Q5The linear mass density of a thin rod AB of length L varies from A to B as λ(x)=λ0(1+xL)\lambda(x)=\lambda_0\left(1+\frac{x}{L}\right), where xx is…MediumSingle correct
  9. 6 Sep 2020, Shift 2 · Q21The centre of mass of a solid hemisphere of radius 8 cm is xx cm from the centre of the flat surface. Then value of xx is ________.EasyNumerical value

2017 2 questions

  1. 2 Apr 2017 (offline) · Q5The moment of inertia of a uniform cylinder of length ll and radius RR about its perpendicular bisector is I. What is the ratio l/Rl/R…HardSingle correct
  2. 2 Apr 2017 (offline) · Q6A slender uniform rod of mass M and length ll is pivoted at one end so that it can rotate in a vertical plane (see figure). There is…MediumSingle correctHas a figure

Pattern: Asked most years.