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Circular Motion

69 questions · Physics · JEE Main
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Circular Motion

69 questions · Physics · JEE Main

  1. A sportsman runs around a circular track of radius r such that he traverses the path ABAB. The distance travelled and displacement, respectively, are Includes diagram2025 · 2 Apr · Shift 2 · Q58 · MCQ
  2. A 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 rim of the wheel at the same level as the centre of wheel, will be :2025 · 4 Apr · Shift 2 · Q55 · MCQ
  3. A particle of charge 1.6μC and mass 16μ g is present in a strong magnetic field of 6.28 T . The particle is then fired perpendicular to magnetic field. The time required for the particle to return to original…2025 · 4 Apr · Shift 2 · Q74 · Numerical
  4. A bob of mass m is suspended at a point O by a light string of length l and left to perform vertical motion (circular) as shown in figure. Initially, by applying horizontal velocity v0​ at the point ' A ', the string becomes slack… Includes diagram2025 · 22 Jan · Shift 1 · Q56 · MCQ
  5. A body of mass 100 g is moving in circular path of radius 2 m on vertical plane as shown in figure. The velocity of the body at point A is 10 m/s. The ratio of its kinetic energies at point B and C is : (Take… Includes diagram2025 · 22 Jan · Shift 2 · Q57 · MCQ
  6. A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then…2025 · 22 Jan · Shift 2 · Q75 · Numerical
  7. A car of mass ' m' moves on a banked road having radius 'r' and banking angle θ. To avoid slipping from banked road, the maximum permissible speed of the car is v0​. The coefficient of friction μ between the wheels of the…2025 · 24 Jan · Shift 1 · Q54 · MCQ
  8. A string of length L is fixed at one end and carries a mass of M at the other end. The mass makes (π3​) rotations per second about the vertical axis passing through end of the string as shown. The tension in the… Includes diagram2025 · 24 Jan · Shift 2 · Q73 · Numerical
  9. A body of mass ‘m’ connected to a massless and unstretchable string goes in vertical circle of radius ‘R’ under gravity g. The other end of the string is fixed at the center of circle. If velocity at top of circular path is ngR​…2025 · 29 Jan · Shift 1 · Q65 · MCQ
  10. A ball of mass 0.5 kg is attached to a string of length 50 cm. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is 400 N. The…2024 · 1 Feb · Shift 1 · Q67 · MCQ
  11. A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is projected with the same speed at an angle θ to the horizontal, the maximum height…2024 · 1 Feb · Shift 1 · Q78 · MCQ
  12. A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is: Includes diagram2024 · 4 Apr · Shift 2 · Q71 · MCQ
  13. A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in m/s2…2024 · 5 Apr · Shift 2 · Q67 · MCQ
  14. A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking 30∘. If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely: (g=10 m/s2,3​=1.73)…2024 · 6 Apr · Shift 2 · Q60 · MCQ
  15. A clock has 75 cm,60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly…2024 · 8 Apr · Shift 1 · Q66 · MCQ
  16. A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius 400 m, the height by which the outer rail should be raised with respect to the inner rail…2024 · 27 Jan · Shift 1 · Q66 · MCQ
  17. If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then in order to have constant centripetal force, their velocities will be in the ratio of :2024 · 29 Jan · Shift 1 · Q73 · MCQ
  18. A stone of mass 900 g is tied to a string and moved in a vertical circle of radius 1 m making 10 rpm. The tension in the string, when the stone is at the lowest point is (if π2=9.8 and g=9.8 m/s2…2024 · 29 Jan · Shift 2 · Q64 · MCQ
  19. A particle is moving in a circle of radius 50 cm in such a way that at any instant the normal and tangential components of it's acceleration are equal. If its speed at t=0 is 4 m/s, the time…2024 · 29 Jan · Shift 2 · Q88 · Numerical
  20. A coin is placed on a disc. The coefficient of friction between the coin and the disc is μ. If the distance of the coin from the center of the disc is r, the maximum angular velocity which can be given to the disc, so that the coin…2024 · 31 Jan · Shift 1 · Q74 · MCQ
  21. A particle is moving with constant speed in a circular path. When the particle turns by an angle 90∘, the ratio of instantaneous velocity to its average velocity is π:x2​. The value of x will be -2023 · 6 Apr · Shift 1 · Q43 · MCQ
  22. A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20 cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on…2023 · 6 Apr · Shift 1 · Q49 · MCQ
  23. As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is : Includes diagram2023 · 6 Apr · Shift 2 · Q54 · MCQ
  24. A child of mass 5 kg is going round a merry-go-round that makes 1 rotation in 3.14 s. The radius of the merry-go-round is 2 m. The centrifugal force on the child will be2023 · 6 Apr · Shift 2 · Q61 · MCQ
  25. A coin placed on a rotating table just slips when it is placed at a distance of 1 cm from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of ​…2023 · 11 Apr · Shift 1 · Q56 · MCQ
  26. A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with angular velocity of 0.2 rad/s. The centripetal force acting on the vehicle is:2023 · 13 Apr · Shift 2 · Q49 · MCQ
  27. A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a circular path on a smooth horizontal surface with constant angular speed 5 rad/s. Then…2023 · 24 Jan · Shift 2 · Q63 · MCQ
  28. A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take g = 10 m/s 2)2023 · 25 Jan · Shift 1 · Q62 · MCQ
  29. A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [take g = 10 ms −2]2023 · 29 Jan · Shift 1 · Q58 · MCQ
  30. An object moves at a constant speed along a circular path in a horizontal plane with center at the origin. When the object is at x=+2 m, its velocity is −4j​ m/s. The object's velocity (v) and acceleration…2023 · 29 Jan · Shift 2 · Q55 · MCQ
  31. A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an…2023 · 29 Jan · Shift 2 · Q67 · Numerical
  32. A stone tied to 180 cm long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is x1936​ms−2. The value of x​. (Take π=722​…2023 · 30 Jan · Shift 2 · Q70 · Numerical
  33. A stone of mass 1 kg is tied to end of a massless string of length 1 m. If the breaking tension of the string is 400 N, then maximum linear velocity, the stone can have without breaking the string, while…2023 · 31 Jan · Shift 2 · Q61 · MCQ
  34. A body is moving with constant speed, in a circle of radius 10 m. The body completes one revolution in 4 s. At the end of 3rd second, the displacement of body (in m ) from its starting point is :2023 · 31 Jan · Shift 2 · Q62 · MCQ
  35. A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80 N. If the maximum speed with which the stone can revolve is πK​…2022 · 24 Jun · Shift 1 · Q50 · MCQ
  36. A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is2022 · 24 Jun · Shift 2 · Q48 · MCQ
  37. A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be :2022 · 24 Jun · Shift 2 · Q57 · MCQ
  38. A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be : (Given cos135∘=−0.7) Includes diagram2022 · 25 Jul · Shift 1 · Q43 · MCQ
  39. A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity ω. The coefficient of static friction…2022 · 25 Jun · Shift 2 · Q48 · MCQ
  40. For a particle in uniform circular motion, the acceleration a at any point P(R, θ) on the circular path of radius R is (when θ is measured from the positive x-axis and v is uniform speed) :2022 · 25 Jun · Shift 2 · Q52 · MCQ
  41. A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road…2022 · 25 Jun · Shift 2 · Q65 · Numerical
  42. A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α with respect… Includes diagram2022 · 26 Jun · Shift 1 · Q45 · MCQ
  43. A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed 3v​ and the bob just completes the vertical…2022 · 27 Jun · Shift 1 · Q67 · Numerical
  44. A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its…2022 · 27 Jun · Shift 2 · Q49 · MCQ
  45. A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration (a) is varying with time t as a = k2rt2, where k is a constant. The power delivered to the particle by the force acting on it is…2022 · 28 Jun · Shift 1 · Q44 · MCQ
  46. A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the… Includes diagram2022 · 29 Jul · Shift 1 · Q51 · MCQ
  47. A person starts his journey from centre 'O' of the park and comes back to the same position following path OPQO as shown in the figure. The radius of path taken by the person is 200 m and he takes 3 min 58 sec to complete his journey. The… Includes diagram2022 · 30 Jun · Shift 1 · Q60 · Numerical
  48. A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20 cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is :2021 · 16 Mar · Shift 1 · Q47 · MCQ
  49. Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh − 1 and takes a sharp circular turn along a path of radius of 2m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip…2021 · 16 Mar · Shift 2 · Q49 · MCQ
  50. A modern grand - prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. If the coefficient of static friction between the tyres and the track is μ s, then the magnitude of negative lift FL… Includes diagram2021 · 17 Mar · Shift 1 · Q56 · MCQ
  51. A particle of mass m moves in a circular orbit under the central potential field, U(r)=−rC​, where C is a positive constant. The correct radius − velocity graph of the particle's motion is :2021 · 18 Mar · Shift 2 · Q48 · MCQ
  52. The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a 30 ∘ banked road at maximum possible speed without skidding is ​× 103 kg m/s2. [Given cos30 ∘= 0.87, μ s = 0.2]2021 · 20 Jul · Shift 1 · Q48 · MCQ
  53. A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 : 1. The velocity of the bob at the highest position is ​…2021 · 25 Feb · Shift 1 · Q64 · Numerical
  54. A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that r=2​L​. The speed of particle will be :2021 · 26 Aug · Shift 2 · Q48 · MCQ
  55. A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R3. Its time period of revolution will be given by :2021 · 26 Feb · Shift 1 · Q54 · MCQ
  56. A huge circular arc of length 4.4 ly subtends an angle '4s' at the centre of the circle. How long it would take for a body to complete 4 revolution if its speed is 8 AU per second? Given : 1 ly = 9.46 × 1015 m 1 AU = 1.5 ×…2021 · 27 Aug · Shift 1 · Q47 · MCQ
  57. A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola y = 4Cx2 and rotating with angular speed ω(see figure). The value of ω is (neglect friction) : Includes diagram2020 · 2 Sep · Shift 1 · Q50 · MCQ
  58. A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms–2) is of the order of :2020 · 6 Sep · Shift 1 · Q47 · MCQ
  59. A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length ℓ. The other end is fixed. The system is given an angular speed ω about the fixed end of the spring such that it rotates…2020 · 8 Jan · Shift 1 · Q56 · MCQ
  60. A body is projected at t = 0 with a velocity 10 ms–1 at an angle of 60o with the horizontal. The radius of curvature of its trajectory at t = 1s is R. neglecting air resistance and taking acceleration due to gravity g = 10 ms–2, the value…2019 · 11 Jan · Shift 1 · Q44 · MCQ
  61. A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60o around the centre of the circle?2019 · 11 Jan · Shift 1 · Q61 · MCQ
  62. A smooth wire of length 2 π r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed ω about the vertical diameter AB, as shown in figure, the… Includes diagram2019 · 12 Apr · Shift 2 · Q53 · MCQ
  63. A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of 3.5 revolutions per second. A coin placed at a distnce of 1.25 cm from the axis of rotation remains at rest on the disc. The coefficient of friction…2018 · 15 Apr · Shift 2 · Q64 · MCQ
  64. A conical pendulum of length 1 m makes an angle θ = 45o w.r.t. Z-axis and moves in a circle in the XY plane. The radius of the circle is 0.4 m and its center is vertically below O. The speed of the pendulum, in its circular path,… Includes diagram2017 · 9 Apr · Shift 1 · Q48 · MCQ
  65. Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is2012 · Shift 0 · Q67 · MCQ
  66. A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out a length s=t3+5, where s is in metres and t is in seconds. The radius of the path is 20m.… Includes diagram2010 · Shift 0 · Q61 · MCQ
  67. For a particle in uniform circular motion the acceleration a at a point P(R, θ) on the circle of radius R is (here θ is measured from the x–axis)2010 · Shift 0 · Q76 · MCQ
  68. Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed?2004 · Shift 0 · Q187 · MCQ
  69. The minimum velocity (in ms−1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is2002 · Shift 0 · Q180 · MCQ