JEE Main & Advanced / Physics / Chapter 9

Circular Motion

Develop the JEE instinct for centripetal acceleration, radial force balance, banking, and vertical-circle constraints.

Original Notes2 Core SectionsJEE Revision Style
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JEE Intro

How to Think About Circular Motion

Develop the JEE instinct for centripetal acceleration, radial force balance, banking, and vertical-circle constraints.

This chapter is written as original Learn at My Place teaching copy. The aim is to give you the JEE decision-making layer: what equation to trust, what approximation is valid, and where exam traps usually appear.

Read the full note once, then revisit the quick revision block before solving your own practice questions.

Problem Method

How to Solve Circular Motion Questions

1. Model the Situation

Draw the body, path, field, graph, or interaction first. Label known quantities and choose sign convention before writing equations.

2. Pick the Governing Law

Decide whether the problem is about conservation, force balance, energy, momentum, fields, or graph interpretation.

3. Check the Edge Case

Verify units, limiting values, direction, and whether approximation assumptions are valid for JEE Main and Advanced options.

Section A

Notes: Circular Motion

Original teaching copy for Learn at My Place

1. Circular Motion Means Direction Change of Velocity

Even at constant speed, a particle in circular motion is accelerated because velocity direction keeps changing. The inward acceleration is:

ac=v2r=ω2ra_c = \frac{v^2}{r} = \omega^2r

The so-called centripetal force is not a new force. It is simply the net inward force required for circular motion:

Fradial=mv2rF_{radial} = \frac{mv^2}{r}

2. Banking and Vertical Circle Conditions

On a banked road without friction, the ideal-speed relation is:

tanθ=v2rg\tan\theta = \frac{v^2}{rg}
In a vertical circle, minimum-speed conditions usually come from the topmost point.

For a string just maintaining contact at the top:

Ttop=0vtop=grT_{top}=0 \Rightarrow v_{top}=\sqrt{gr}
Then use energy conservation to find the required speed at the bottom.

Quick Revision

Last 5-Minute Recall

JEE exam rule: First identify the governing principle. Most errors happen because students choose the wrong framework before they start the algebra.
Uniform circular motion and inward acceleration
Radial force balance as the main equation
Banking and conical pendulum ideas
Vertical circle minimum-speed conditions
Verified question bank

Circular Motion questions with answers

Open any of these 78 quality-checked JEE questions to review all four options, the correct answer, and the worked explanation.

  1. Question 1 · EasyAngular Velocity
  2. Question 2 · EasyPeriod and Frequency
  3. Question 3 · EasyLinear and Angular Velocity
  4. Question 4 · EasyCentripetal Acceleration
  5. Question 5 · EasyCentripetal Force
  6. Question 6 · EasyCentripetal Force Provider
  7. Question 7 · EasyAngular Acceleration
  8. Question 8 · EasyCentripetal Force Formula
  9. Question 9 · MediumBanking — Ideal
  10. Question 10 · MediumConical Pendulum — Period
  11. Question 11 · MediumVertical Circle — Minimum Speed at Top
  12. Question 12 · MediumVertical Circle — Speed at Bottom
  13. Question 13 · MediumFriction in Circular Motion
  14. Question 14 · MediumApparent Weight — Top of Circle
  15. Question 15 · HardEarth Rotation Effect
  16. Question 16 · MediumCentripetal Work
  17. Question 17 · HardBanking — Max Speed
  18. Question 18 · MediumCentripetal Acceleration — RPM
  19. Question 19 · HardVertical Circle — Tension at Bottom
  20. Question 20 · HardVertical Circle — Tension at Top
  21. Question 21 · HardBanking — Minimum Speed
  22. Question 22 · MediumCar on Curve — No Banking
  23. Question 23 · MediumConical Pendulum — Radius
  24. Question 24 · HardVertical Circle — Slack String
  25. Question 25 · MediumCentrifuge
  26. Question 26 · HardMinimum Speed at Top — Rod vs String
  27. Question 27 · MediumAngular Momentum in Circle
  28. Question 28 · MediumApparent Weightlessness
  29. Question 29 · MediumCircular Motion — Tangential Acceleration
  30. Question 30 · HardEffective g in Rotating Frame
  31. Question 31 · HardVertical Circle — Energy
  32. Question 32 · HardMaximum Friction on Curve
  33. Question 33 · MediumCircular Motion — Direction of Acceleration
  34. Question 34 · MediumSatellite — Circular Orbit
  35. Question 35 · MediumCentrifugal Pseudo Force
  36. Question 36 · HardVertical Circle — Rod
  37. Question 37 · MediumTime Period — Planet
  38. Question 38 · HardLoop-the-Loop
  39. Question 39 · HardRelative Circular Motion
  40. Question 40 · HardVertical Circle — Tension Ratio
  41. Question 41 · HardCar Over Bridge
  42. Question 42 · MediumConical Pendulum — Tension
  43. Question 43 · HardBanked Road — No Slip
  44. Question 44 · HardCircular Motion — Non-Uniform
  45. Question 45 · HardBall on String — Breaking
  46. Question 46 · HardLoop — Minimum Entry Speed
  47. Question 47 · MediumCircular Motion — Speed Change
  48. Question 48 · HardVertical Circle — Angle of Slack
  49. Question 49 · HardPseudo Force — Rotating Frame
  50. Question 50 · HardVertical Circle — Track
  51. Question 51 · MediumPeriod of Circular Orbit
  52. Question 52 · MediumCircular Motion — Change in Velocity
  53. Question 53 · MediumCentripetal Force — Calculation
  54. Question 54 · HardOverhead Swing
  55. Question 55 · MediumJEE — Centripetal Calculation
  56. Question 56 · HardJEE — Gravity in Orbit
  57. Question 57 · HardJEE — Rotor
  58. Question 58 · MediumJEE — Critical Speed at Top
  59. Question 59 · MediumJEE — Apparent Weight in Valley
  60. Question 60 · MediumJEE — Tangential and Centripetal
  61. Question 61 · MediumJEE — Satellite Circular Speed
  62. Question 62 · HardJEE — Direction After Slack
  63. Question 63 · HardJEE — Banked Road Forces
  64. Question 64 · MediumJEE — Angular Velocity Increase
  65. Question 65 · HardJEE — Tension Difference
  66. Question 66 · MediumJEE — Centripetal vs Centrifugal
  67. Question 67 · HardAdvanced — Bead on Rotating Rod
  68. Question 68 · HardAdvanced — Variable Speed Circle
  69. Question 69 · HardAdvanced — Vertical Circle Friction
  70. Question 70 · HardAdvanced — Charged Particle in B Field
  71. Question 71 · HardAdvanced — Kepler from Circular Orbit
  72. Question 72 · HardAdvanced — Tension vs Height in Vertical Circle
  73. Question 73 · HardAdvanced — Loop with Friction
  74. Question 74 · HardAdvanced — Minimum Coefficient for Loop
  75. Question 75 · HardAdvanced — Circular Motion of Planet
  76. Question 76 · HardAdvanced — Non-uniform Circular Motion Kinematics
  77. Question 77 · HardAdvanced — Coin on Turntable
  78. Question 78 · HardAdvanced — Gravity Turn
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