Circular Motion PYQs - Last 10 Years

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Practice 70 JEE Main Physics questions from Circular Motion. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 10 Years Circular Motion Questions

Showing 50 of 70 filtered questions.

1Circular Motion

A car moving with a speed of $54 \mathrm{~km} / \mathrm{h}$ takes a turn of radius 20 m . A simple pendulum is suspended from the ceiling of the car. Determine the angle made by the string of the pendulum with the vertical during the turnin...

2Circular Motion

A smooth inclined plane ends in a vertical circular loop, as shown in the figure. A small body is released from height $h$ as shown. If the body exerts a force of three times its weight on the plane at the highest point of circle then the h...

3Circular Motion

A particle is rotating in a circular path and at any instant its motion can be described as$\theta = \frac{5t^4}{40} - \frac{t^3}{3}$.The angular acceleration of the particle after 10 seconds is _________ rad/s2.

4Circular Motion

A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m rotating about its vertical axis. The minimum rotational speed of the drum to enable the mass to remain stuck to the wall (without falling) is 5 rad/s. T...

5Circular Motion

In case of vertical circular motion of a particle by a thread of length $r$ if the tension in the thread is zero at an angle $30^{\circ}$ shown in figure, the velocity at the bottom point $(A)$ of the circular path is (g = gravitational acc...

6Circular Motion

Two cars A and B each of mass $10^3$ kg are moving on parallel tracks separated by a distance of 10 m, in same direction with speeds 72 km/h and 36 km/h. The magnitude of angular momentum of car A with respect to car B is ________ J·s.

7Circular Motion

A large drum having radius $R$ is spinning around its axis with angular velocity $\omega$, as shown in figure. The minimum value of $\omega$ so that a body of mass $M$ remains stuck to the inner wall of the drum, taking the coefficient of f...

8Circular Motion

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is $8 \mathrm{~m} / \mathrm{s}$. The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be :

9Circular Motion

A sportsman runs around a circular track of radius $r$ such that he traverses the path $A B A B$. The distance travelled and displacement, respectively, are

10Circular Motion

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 $n\sqrt{ g R}$ ,...

11Circular Motion

A car of mass ' $m$ ' moves on a banked road having radius ' $r$ ' and banking angle $\theta$. To avoid slipping from banked road, the maximum permissible speed of the car is $v_0$. The coefficient of friction $\mu$ between the wheels of th...

12Circular Motion

A string of length $L$ is fixed at one end and carries a mass of $M$ at the other end. The mass makes $\left(\frac{3}{\pi}\right)$ rotations per second about the vertical axis passing through end of the string as shown. The tension in the ...

INTEGER+4 / -12025

13Circular Motion

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 $v_0$ at the point ' A ', the string becomes slack w...

14Circular Motion

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 $10 \mathrm{~m} / \mathrm{s}$. The ratio of its kinetic energies at point B and C is :

(Take accel...

15Circular Motion

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 ang...

INTEGER+4 / -12025

16Circular Motion

A clock has \(75 \mathrm{~cm}, 60 \mathrm{~cm}\) 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...

17Circular Motion

A car of \(800 \mathrm{~kg}\) is taking turn on a banked road of radius \(300 \mathrm{~m}\) and angle of banking \(30^{\circ}\). If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely: $...

18Circular Motion

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius \(9 \mathrm{~m}\) and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in $$\mathrm{m} / \mathrm{s}^2...

19Circular Motion

A cyclist starts from the point \(P\) of a circular ground of radius \(2 \mathrm{~km}\) and travels along its circumference to the point \(\mathrm{S}\). The displacement of a cyclist is:

20Circular Motion

A coin is placed on a disc. The coefficient of friction between the coin and the disc is \(\mu\). 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 coi...

21Circular Motion

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 :

22Circular Motion

A particle is moving in a circle of radius \(50 \mathrm{~cm}\) in such a way that at any instant the normal and tangential components of it's acceleration are equal. If its speed at \(\mathrm{t}=0\) is \(4 \mathrm{~m} / \mathrm{s}\), the ti...

INTEGER+4 / -12024

23Circular Motion

A stone of mass \(900 \mathrm{~g}\) is tied to a string and moved in a vertical circle of radius \(1 \mathrm{~m}\) making \(10 \mathrm{~rpm}\). The tension in the string, when the stone is at the lowest point is (if \(\pi^2=9.8\) and $$g=9....

24Circular Motion

A train is moving with a speed of \(12 \mathrm{~m} / \mathrm{s}\) on rails which are \(1.5 \mathrm{~m}\) apart. To negotiate a curve radius \(400 \mathrm{~m}\), the height by which the outer rail should be raised with respect to the inner r...

25Circular Motion

A particle moving in a circle of radius $\mathrm{R}$ with uniform speed takes time $\mathrm{T}$ to complete one revolution.
If this particle is projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attaine...

26Circular Motion

A ball of mass $0.5 \mathrm{~kg}$ is attached to a string of length $50 \mathrm{~cm}$. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400 \mathrm{~N}$. The maximum...

27Circular Motion

A small block of mass \(100 \mathrm{~g}\) is tied to a spring of spring constant \(7.5 \mathrm{~N} / \mathrm{m}\) and length \(20 \mathrm{~cm}\). The other end of spring is fixed at a particular point A. If the block moves in a circular pat...

28Circular Motion

A particle is moving with constant speed in a circular path. When the particle turns by an angle \(90^{\circ}\), the ratio of instantaneous velocity to its average velocity is \(\pi: x \sqrt{2}\). The value of \(x\) will be -

29Circular Motion

A child of mass \(5 \mathrm{~kg}\) is going round a merry-go-round that makes 1 rotation in \(3.14 \mathrm{~s}\). The radius of the merry-go-round is \(2 \mathrm{~m}\). The centrifugal force on the child will be

30Circular Motion

As shown in the figure, a particle is moving with constant speed \(\pi ~\mathrm{m} / \mathrm{s}\). Considering its motion from \(\mathrm{A}\) to \(\mathrm{B}\), the magnitude of the average velocity is :

31Circular Motion

A body is moving with constant speed, in a circle of radius $10 \mathrm{~m}$. The body completes one revolution in $4 \mathrm{~s}$. At the end of 3rd second, the displacement of body (in $\mathrm{m}$ ) from its starting point is :

32Circular Motion

A stone of mass $1 \mathrm{~kg}$ is tied to end of a massless string of length $1 \mathrm{~m}$. If the breaking tension of the string is $400 \mathrm{~N}$, then maximum linear velocity, the stone can have without breaking the string, while ...

33Circular Motion

A stone tied to $180 \mathrm{~cm}$ long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is $\frac{1936}{x} ms^{-2}$. The value of $x$ ________. (Take $\pi=\frac{22}{7}$...

INTEGER+4 / -12023

34Circular Motion

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\(^{-2}\)]

35Circular Motion

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 in...

INTEGER+4 / -12023

36Circular Motion

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 \(x=+2~\mathrm{m}\), its velocity is \(\mathrm{ - 4\widehat j}\) m/s. The object's velocity (v) and acceleratio...

37Circular Motion

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\(^2\)...

38Circular Motion

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 th...

39Circular Motion

A vehicle of mass \(200 \mathrm{~kg}\) is moving along a levelled curved road of radius \(70 \mathrm{~m}\) with angular velocity of \(0.2 ~\mathrm{rad} / \mathrm{s}\). The centripetal force acting on the vehicle is:

40Circular Motion

A coin placed on a rotating table just slips when it is placed at a distance of \(1 \mathrm{~cm}\) from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of _________ from the centre :

41Circular Motion

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 a...

INTEGER+4 / -12022

42Circular Motion

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 wa...

43Circular Motion

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 g...

44Circular Motion

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 \({v \over 3}\) and the bob just completes the vertical...

INTEGER+4 / -12022

45Circular Motion

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 velocit...

46Circular Motion

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 \(\alpha\) with respect ...

47Circular Motion

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 remai...

INTEGER+4 / -12022

48Circular Motion

For a particle in uniform circular motion, the acceleration \(\overrightarrow a\) at any point P(R, \(\theta\)) on the circular path of radius R is (when \(\theta\) is measured from the positive x-axis and v is uniform speed) :

49Circular Motion

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 \(\omega\). The coefficient of static friction...

50Circular Motion

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is \(60 \mathrm{~m}\), then the magnitude of displacement would be :
(Given \(\left.\cos 135^{\circ}=-0.7\right)\)