Rotational Motion PYQs - Last 10 Years
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PhysicsMechanics2017-2026
Practice 230 JEE Main Physics questions from Rotational Motion. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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2017-2026
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Last 10 Years Rotational Motion Questions
Showing 50 of 230 filtered questions.
1Rotational Motion
The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of revolutions by the truck engine during this time is _____________. (Assuming the acceleration to be uniform).
INTEGER+4 / -12021
2Rotational Motion
A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms-1 goes up an inclined plane which makes an angle of 30\(^\circ\) with the horizontal plane, without slipping. How long will the sphere take to return to the sta...
MCQ+4 / -12021
3Rotational Motion
Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force \(\overrightarrow P\) of magnitude 100 N is applied at point A of the frame.Suppose the force is \(\overrightarrow P\) resolved ...
INTEGER+4 / -12021
4Rotational Motion
Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its center and is at rest initially. The disk is acted upon by a constant force F = 20 N through a massless string wrapped around is periphery as shown in the fi...
INTEGER+4 / -12021
5Rotational Motion
A solid disc of radius 'a' and mass 'm' rolls down without slipping on an inclined plane making an angle \(\theta\) with the horizontal. The acceleration of the disc will be \({2 \over b}\)g sin\(\theta\) where b is ____________. (Round off...
INTEGER+4 / -12021
6Rotational Motion
A force \(\overrightarrow F\) = \({4\widehat i + 3\widehat j + 4\widehat k}\) is applied on an intersection point of x = 2 plane and x-axis. The magnitude of torque of this force about a point (2, 3, 4) is ___________. (Round off to the Ne...
INTEGER+4 / -12021
7Rotational Motion
A body of mass m = 10 kg is attached to one
end of a wire of length 0.3 m. The maximum
angular speed (in rad s–1) with which it can be
rotated about its other end in space station is :
(Breaking stress of wire = 4.8 × 107 Nm–2 and
area of c...
end of a wire of length 0.3 m. The maximum
angular speed (in rad s–1) with which it can be
rotated about its other end in space station is :
(Breaking stress of wire = 4.8 × 107 Nm–2 and
area of c...
INTEGER+4 / -02020
8Rotational Motion
One end of a straight uniform 1m long bar is
pivoted on horizontal table. It is released from
rest when it makes an angle 30º from the
horizontal (see figure). Its angular speed when
it hits the table is given as \(\sqrt n\) s-1, where n i...
pivoted on horizontal table. It is released from
rest when it makes an angle 30º from the
horizontal (see figure). Its angular speed when
it hits the table is given as \(\sqrt n\) s-1, where n i...
INTEGER+4 / -02020
9Rotational Motion
Three solid spheres each of mass m and
diameter d are stuck together such that the lines
connecting the centres form an equilateral
triangle of side of length d. The ratio I0/IA of
moment of inertia I0 of the system about an axis
passing t...
MCQ+4 / -12020
10Rotational Motion
A uniformly thick wheel with moment of inertia
I and radius R is free to rotate about its centre
of mass (see fig). A massless string is wrapped
over its rim and two blocks of masses m1 and
m2 (m1 \(>\) m2) are attached to the ends of th...
I and radius R is free to rotate about its centre
of mass (see fig). A massless string is wrapped
over its rim and two blocks of masses m1 and
m2 (m1 \(>\) m2) are attached to the ends of th...
MCQ+4 / -12020
11Rotational Motion
Consider a uniform rod of mass M = 4m and
length \(\ell\) pivoted about its centre. A mass m
moving with velocity v making angle \(\theta = {\pi \over 4}\) to
the rod's long axis collides with one end of the
rod and sticks to it. The ang...
length \(\ell\) pivoted about its centre. A mass m
moving with velocity v making angle \(\theta = {\pi \over 4}\) to
the rod's long axis collides with one end of the
rod and sticks to it. The ang...
MCQ+4 / -12020
12Rotational Motion
A uniform sphere of mass 500 g rolls without
slipping on a plane horizontal surface with its
centre moving at a speed of 5.00 cm/s. Its
kinetic energy is :
slipping on a plane horizontal surface with its
centre moving at a speed of 5.00 cm/s. Its
kinetic energy is :
MCQ+4 / -12020
13Rotational Motion
As shown in the figure, a bob of mass m is tied by a massless string whose other end portion is wound on a fly wheel (disc) of radius r and mass m. When released from rest the bob starts falling vertically. When it has covered a distance o...
MCQ+4 / -12020
14Rotational Motion
The radius of gyration of a uniform rod of length \(l\), about an axis passing through a
point \({l \over 4}\) away from the centre of the rod,
and perpendicular to it, is :
point \({l \over 4}\) away from the centre of the rod,
and perpendicular to it, is :
MCQ+4 / -12020
15Rotational Motion
Mass per unit area of a circular disc of radius \(a\) depends on the distance r from its centre as \(\sigma \left( r \right)\) = A + Br
. The moment of inertia of the disc about the axis, perpendicular to the plane and
assing through its ce...
. The moment of inertia of the disc about the axis, perpendicular to the plane and
assing through its ce...
MCQ+4 / -12020
16Rotational Motion
Consider a uniform cubical box of side a on a rough floor that is to be moved by applying
minimum possible force F at a point b above its centre of mass (see figure). If the coefficient of
friction is \(\mu\) = 0.4, the maximum possible v...
INTEGER+4 / -02020
17Rotational Motion
Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M, radius of its
top, R and height, H, then its moment of inertia about its axis is :
top, R and height, H, then its moment of inertia about its axis is :
MCQ+4 / -12020
18Rotational Motion
Four point masses, each of mass m, are fixed at the corners of a square of side \(l\). The square is
rotating with angular frequency \(\omega\), about an axis passing through one of the corners of the square
and parallel to its diagonal, a...
rotating with angular frequency \(\omega\), about an axis passing through one of the corners of the square
and parallel to its diagonal, a...
MCQ+4 / -12020
19Rotational Motion
The linear mass density of a thin rod AB of length L varies from A to B as
\(\lambda \left( x \right) = {\lambda _0}\left( {1 + {x \over L}} \right)\), where
x is the distance from A. If M is the mass of the rod then its moment of inertia ...
\(\lambda \left( x \right) = {\lambda _0}\left( {1 + {x \over L}} \right)\), where
x is the distance from A. If M is the mass of the rod then its moment of inertia ...
MCQ+4 / -12020
20Rotational Motion
A wheel is rotating freely with an angular speed
\(\omega\) on a shaft. The moment of inertia of the
wheel is I and the moment of inertia of the
shaft is negligible. Another wheel of moment of
inertia 3I initially at rest is suddenly coupl...
\(\omega\) on a shaft. The moment of inertia of the
wheel is I and the moment of inertia of the
shaft is negligible. Another wheel of moment of
inertia 3I initially at rest is suddenly coupl...
MCQ+4 / -12020
21Rotational Motion
A force \(\overrightarrow F = \left( {\widehat i + 2\widehat j + 3\widehat k} \right)\) N acts at a point \(\left( {4\widehat i + 3\widehat j - \widehat k} \right)\) m. Then the magnitude of torque
about the point $$\left( {\widehat i + 2\...
about the point $$\left( {\widehat i + 2\...
INTEGER+4 / -02020
22Rotational Motion
A ring is hung on a nail. It can oscillate, without
slipping or sliding (i) in its plane with a time
period T1 and, (ii) back and forth in a direction
perpendicular to its plane, with a period T2. The
ratio \({{{T_1}} \over {{T_2}}}\) will ...
slipping or sliding (i) in its plane with a time
period T1 and, (ii) back and forth in a direction
perpendicular to its plane, with a period T2. The
ratio \({{{T_1}} \over {{T_2}}}\) will ...
MCQ+4 / -12020
23Rotational Motion
A thin rod of mass 0.9 kg and length 1 m is
suspended, at rest, from one end so that it can
freely oscillate in the vertical plane. A particle
of move 0.1 kg moving in a straight line with
velocity 80 m/s hits the rod at its bottom most
poi...
suspended, at rest, from one end so that it can
freely oscillate in the vertical plane. A particle
of move 0.1 kg moving in a straight line with
velocity 80 m/s hits the rod at its bottom most
poi...
INTEGER+4 / -02020
24Rotational Motion
A circular disc of mass M and radius R is rotating about its axis with angular speed \({\omega _1}\)
. If another
stationary disc having radius \({R \over 2}\) and same mass M is droped co-axially on to the rotating disc.
Gradually both dis...
. If another
stationary disc having radius \({R \over 2}\) and same mass M is droped co-axially on to the rotating disc.
Gradually both dis...
INTEGER+4 / -02020
25Rotational Motion
Consider two uniform discs of the same thickness and different radii R1
= R and R2
= \(\alpha\)R made of
the same material. If the ratio of their moments of inertia I1
and I2
, respectively, about their axes
is I1
: I2
= 1 : 16 then t...
= R and R2
= \(\alpha\)R made of
the same material. If the ratio of their moments of inertia I1
and I2
, respectively, about their axes
is I1
: I2
= 1 : 16 then t...
MCQ+4 / -12020
26Rotational Motion
For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes
perpendicular to the sheet and passing through O (the centre of mass) and O' (corner point) is :
perpendicular to the sheet and passing through O (the centre of mass) and O' (corner point) is :
MCQ+4 / -12020
27Rotational Motion
A person of 80 kg mass is standing on the rim
of a circular platform of mass 200 kg rotating
about its axis at 5 revolutions per minute (rpm).
The person now starts moving towards the
centre of the platform. What will be the
rotational spee...
of a circular platform of mass 200 kg rotating
about its axis at 5 revolutions per minute (rpm).
The person now starts moving towards the
centre of the platform. What will be the
rotational spee...
INTEGER+4 / -02020
28Rotational Motion
Moment of inertia of a cylinder of mass M,
length L and radius R about an axis passing
through its centre and perpendicular to the
axis of the cylinder is I = \(M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)\). If such a
cylinde...
length L and radius R about an axis passing
through its centre and perpendicular to the
axis of the cylinder is I = \(M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)\). If such a
cylinde...
MCQ+4 / -12020
29Rotational Motion
An massless equilateral triangle EFG of side ‘a’ (As shown in figure) has three particles of mass m
situated at its vertices. The moment of inertia of the system about the line EX perpendicular to EG
in the plane of EFG is $${N \over {20}}$...
situated at its vertices. The moment of inertia of the system about the line EX perpendicular to EG
in the plane of EFG is $${N \over {20}}$...
INTEGER+4 / -02020
30Rotational Motion
A uniform rod of length ‘\(l\)’ is pivoted at one of its ends on a vertical shaft of negligible radius.
When the shaft rotates at angular speed \(\omega\) the rod makes an angle \(\theta\) with it (see figure). To find \(\theta\)
equate ...
When the shaft rotates at angular speed \(\omega\) the rod makes an angle \(\theta\) with it (see figure). To find \(\theta\)
equate ...
MCQ+4 / -12020
31Rotational Motion
Shown in the figure is rigid and uniform one
meter long rod AB held in horizontal position by
two strings tied to its ends and attached to the
ceiling. The rod is of mass ‘m’ and has another
weight of mass 2 m hung at a distance of 75 cm
f...
MCQ+4 / -12020
32Rotational Motion
A uniform cylinder of mass M and radius R is to
be pulled over a step of height a (a < R) by
applying a force F at its centre ‘O’
perpendicular to the plane through the axes of
the cylinder on the edge of the step (see
figure). The minimum ...
be pulled over a step of height a (a < R) by
applying a force F at its centre ‘O’
perpendicular to the plane through the axes of
the cylinder on the edge of the step (see
figure). The minimum ...
MCQ+4 / -12020
33Rotational Motion
Two uniform circular discs are rotating
independently in the same direction around
their common axis passing through their
centres. The moment of inertia and angular
velocity of the first disc are 0.1 kg-m2 and 10
rad s–1 respectively while...
independently in the same direction around
their common axis passing through their
centres. The moment of inertia and angular
velocity of the first disc are 0.1 kg-m2 and 10
rad s–1 respectively while...
MCQ+4 / -12020
34Rotational Motion
An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB = BC, and the angle made by AB with downward vertical is \(\theta\), thrown :
MCQ+4 / -12019
35Rotational Motion
If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the Sun, its areal velocity is :
MCQ+4 / -12019
36Rotational Motion
A rod of length 50 cm is pivoted at one end. It is raised such that if makes an angle of 30o from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in rad s\(-\)1) will be (g = 10 ms$$...
MCQ+4 / -12019
37Rotational Motion
A stationary horizontal disc is free to rotate
about its axis. When a torque is applied on it,
its kinetic energy as a function of \(\theta\), where \(\theta\)
is the angle by which it has rotated, is given as
k\(\theta\)2. If its moment...
about its axis. When a torque is applied on it,
its kinetic energy as a function of \(\theta\), where \(\theta\)
is the angle by which it has rotated, is given as
k\(\theta\)2. If its moment...
MCQ+4 / -12019
38Rotational Motion
The following bodies are made to roll up
(without slipping) the same inclined plane from
a horizontal plane. : (i) a ring of radius R, (ii)
a solid cylinder of radius
R/2 and (iii) a solid
sphere of radius
R/4 . If in each case, the speed
o...
(without slipping) the same inclined plane from
a horizontal plane. : (i) a ring of radius R, (ii)
a solid cylinder of radius
R/2 and (iii) a solid
sphere of radius
R/4 . If in each case, the speed
o...
MCQ+4 / -12019
39Rotational Motion
A thin smooth rod of length L and mass M is
rotating freely with angular speed \(\omega\)0 about an
axis perpendicular to the rod and passing
through its center. Two beads of mass m and
negligible size are at the center of the rod
initiall...
rotating freely with angular speed \(\omega\)0 about an
axis perpendicular to the rod and passing
through its center. Two beads of mass m and
negligible size are at the center of the rod
initiall...
MCQ+4 / -12019
40Rotational Motion
Moment of inertia of a body about a given axis
is 1.5 kg m2. Initially the body is at rest. In order
to produce a rotational kinetic energy of
1200 J, the angular accleration of 20 rad/s2
must be applied about the axis for a
duration of :-
is 1.5 kg m2. Initially the body is at rest. In order
to produce a rotational kinetic energy of
1200 J, the angular accleration of 20 rad/s2
must be applied about the axis for a
duration of :-
MCQ+4 / -12019
41Rotational Motion
A thin circular plate of mass M and radius R
has its density varying as \(\rho\)(r) = \(\rho\)0r with \(\rho\)0 as
constant and r is the distance from its centre.
The moment of Inertia of the circular plate about
an axis perpendicular to...
has its density varying as \(\rho\)(r) = \(\rho\)0r with \(\rho\)0 as
constant and r is the distance from its centre.
The moment of Inertia of the circular plate about
an axis perpendicular to...
MCQ+4 / -12019
42Rotational Motion
A solid sphere and solid cylinder of identical
radii approach an incline with the same linear
velocity (see figure). Both roll without slipping
all throughout. The two climb maximum
heights hsph and hcyl on the incline. The ratio
hsph/hcyl ...
radii approach an incline with the same linear
velocity (see figure). Both roll without slipping
all throughout. The two climb maximum
heights hsph and hcyl on the incline. The ratio
hsph/hcyl ...
MCQ+4 / -12019
43Rotational Motion
An electric dipole is formed by two equal and
opposite charges q with separation d. The
charges have same mass m. It is kept in a
uniform electric field E. If it is slightly rotated
from its equilibrium orientation, then its angular
frequen...
opposite charges q with separation d. The
charges have same mass m. It is kept in a
uniform electric field E. If it is slightly rotated
from its equilibrium orientation, then its angular
frequen...
MCQ+4 / -12019
44Rotational Motion
A rectangular solid box of length 0.3 m is held
horizontally, with one of its sides on the edge
of a platform of height 5m. When released, it
slips off the table in a very short time t = 0.01s,
remaining essentially horizontal. The angle by...
horizontally, with one of its sides on the edge
of a platform of height 5m. When released, it
slips off the table in a very short time t = 0.01s,
remaining essentially horizontal. The angle by...
MCQ+4 / -12019
45Rotational Motion
Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its axis be I. The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also I, is :
MCQ+4 / -12019
46Rotational Motion
Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed \(\omega\). At t = 0, their positions and direction of motion are shown in the figure. :
The relative velocity $${\overrightarrow V _A} -...
The relative velocity $${\overrightarrow V _A} -...
MCQ+4 / -12019
47Rotational Motion
A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. when the particle reac...
MCQ+4 / -12019
48Rotational Motion
The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ?
MCQ+4 / -12019
49Rotational Motion
A circular disc of radius b has a hole of radius a at its centre (see figure). If the mass per unit area of the disc
varies as \(\left( {{{{\sigma _0}} \over r}} \right)\)
, then the radius of gyration of the disc about its axis passing thr...
varies as \(\left( {{{{\sigma _0}} \over r}} \right)\)
, then the radius of gyration of the disc about its axis passing thr...
MCQ+4 / -12019
50Rotational Motion
A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude \(\theta\)0. If the
person stands up when the swing passes through its lowest point, the work done by him, assuming that his
center of mass moves ...
person stands up when the swing passes through its lowest point, the work done by him, assuming that his
center of mass moves ...
MCQ+4 / -12019