2013
Q51
NEET
MCQ
10 Mar 2026
A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is
A.
${{2g} \over L}$
B.
${{2g} \over {2L}}$
C.
${{3g} \over {2L}}$
D.
${g \over L}$
2013
Q52
NEET
MCQ
10 Mar 2026
A small object of uniform density rolls up a curved surface with an initial velocity 'v'. It reaches upto a maximum height of ${{3{v^2}} \over {4g}}$ with respect to the initial position. The object is
A.
hollow sphere
B.
disc
C.
ring
D.
solid sphere
2012
Q53
NEET
MCQ
10 Mar 2026
The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through
A.
B
B.
C
C.
D
D.
A
2012
Q54
NEET
MCQ
10 Mar 2026
A circular platform is mounted on a frictionless vertical axle. Its radius R = 2 m and its moment of inertia about the axle is 200 kg m2. It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1 ms$-$1 relative to the ground. Time taken by the man to complete one revolution is
A.
$\pi $ s
B.
${{3\pi } \over 2}$ s
C.
2$\pi $ s
D.
${\pi \over 2}$ s
2012
Q55
NEET
MCQ
10 Mar 2026
A car of mass m is moving on a level circular track of radius R. If $\mu $s represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by
A.
$\sqrt {{\mu _s}mRg} $
B.
$\sqrt {{{Rg} \over {{\mu _s}}}} $
C.
$\sqrt {{{mRg} \over {{\mu _s}}}} $
D.
$\sqrt {{\mu _s}Rg} $
2012
Q56
NEET
MCQ
10 Mar 2026
ABC is an equilateral triangle with O as its centre. ${\overrightarrow F _1},{\overrightarrow F _2}$ and ${\overrightarrow F _3}$ represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then magnitude of ${\overrightarrow F _3}$ is
A.
F1 + F2
B.
F1 $-$ F2
C.
${{{F_1} + {F_2}} \over 2}$
D.
2(F1 + F2)
2012
Q57
NEET
MCQ
10 Mar 2026
A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45o, the speed of the car is
A.
20 m s$-$1
B.
30 m s$-$1
C.
5 m s$-$1
D.
10 m s$-$1
2012
Q58
NEET
MCQ
10 Mar 2026
When a mass is rotating in a plane about a fixed point, its angular momentum is directed along
A.
a line perpendicular to the plane of rotation
B.
the line making an angle of 45o to the plane of rotation
C.
the radius
D.
the tangent to the orbit
2011
Q59
NEET
MCQ
10 Mar 2026
A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will
A.
decrease by a factor of 2
B.
remain constant
C.
increase by a factor of 2
D.
increase by a factor of 4
2011
Q60
NEET
MCQ
10 Mar 2026
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is $I$0. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
A.
${I_0} + M{L^2}/2$
B.
${I_0} + M{L^2}/4$
C.
${I_0} + 2M{L^2}$
D.
${I_0} + M{L^2}$
2011
Q61
NEET
MCQ
10 Mar 2026
The instantaneous angular position of a point on a rotating wheel is given by the equation $\theta \left( t \right) = 2{t^3} - 6{t^2}$
The torque on the wheel becomes zero at
The torque on the wheel becomes zero at
A.
t = 1 s
B.
t = 0.5 s
C.
t = 0.25 s
D.
t = 2 s
2010
Q62
NEET
MCQ
10 Mar 2026
A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?
A.
Both together only when angle of inclination of plane is 45o
B.
Both together
C.
Hollow cylinder
D.
Solid cylinder
2010
Q63
NEET
MCQ
10 Mar 2026
From a circular disc of radius R and mass 9M, a small disc of mass M and radius ${R \over 3}$ is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is
A.
${{40} \over 9}$ MR2
B.
MR2
C.
4MR2
D.
${4 \over 9}$ MR2
2010
Q64
NEET
MCQ
10 Mar 2026
A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity $\omega $. Two objects each of msass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by
A.
${{\left( {M + 2m} \right)\omega } \over {2m}}$
B.
${{2M\omega } \over {M + 2m}}$
C.
${{\left( {M + 2m} \right)\omega } \over M}$
D.
${{M\omega } \over {M + 2m}}$
2010
Q65
NEET
MCQ
10 Mar 2026
A circular disk of moment of inertia ${I_t}$ is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ${\omega _i}$. Another disk of moment of inertia ${I_b}$ is dropped coaxially onto the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed $\omega $. The energy lost by the initially rotating disc to friction is
A.
${1 \over 2}{{I_b^2} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$
B.
${1 \over 2}{{I_t^2} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$
C.
${{{I_b} - {I_t}} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$
D.
${1 \over 2}{{{I_b}{I_t}} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$
2010
Q66
NEET
MCQ
10 Mar 2026
A gramophone record is revolving with an angular velocity $\omega $. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is $\mu $. The coin will revolve with the record if
A.
r = $\mu $g$\omega $2
B.
r < ${{{\omega ^2}} \over {\mu g}}$
C.
$r \le {{\mu g} \over {{\omega ^2}}}$
D.
$r \ge {{\mu g} \over {{\omega ^2}}}$
2009
Q67
NEET
MCQ
10 Mar 2026
Four identical thin rods each of mass M and length $l$, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is
A.
${2 \over 3}M{l^2}$
B.
${{13} \over 3}M{l^2}$
C.
${1 \over 3}M{l^2}$
D.
${4 \over 3}M{l^2}$
2009
Q68
NEET
MCQ
10 Mar 2026
If $\overrightarrow F $ is the force acting on a particle having position vector $\overrightarrow r $ and $\overrightarrow \tau $ be the torque of this force about the origin, then
A.
$\overrightarrow r .\overrightarrow \tau > 0$ and $\overrightarrow F .\overrightarrow \tau < 0$
B.
$\overrightarrow r .\overrightarrow \tau = 0$ and $\overrightarrow F .\overrightarrow \tau = 0$
C.
$\overrightarrow r .\overrightarrow \tau = 0$ and $\overrightarrow F .\overrightarrow \tau \ne 0$
D.
$\vec r.\vec \tau \ne 0$ and $\overrightarrow F .\overrightarrow \tau = 0$
2009
Q69
NEET
MCQ
10 Mar 2026
A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity $\omega $. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity
A.
${{\omega M} \over {M + 2m}}$
B.
${{\omega \left( {M + 2m} \right)} \over M}$
C.
${{\omega M} \over {M + m}}$
D.
${{\omega \left( {M - 2m} \right)} \over {M + 2m}}$
2008
Q70
NEET
MCQ
10 Mar 2026
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is
A.
$\sqrt 2 :1$
B.
$\sqrt 2 :\sqrt 3 $
C.
$\sqrt 3 :\sqrt 2 $
D.
$1:\sqrt 2 $
2008
Q71
NEET
MCQ
10 Mar 2026
A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90o. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is
A.
${{M{L^2}} \over 6}$
B.
${{\sqrt 2 M{L^2}} \over {24}}$
C.
${{M{L^2}} \over {24}}$
D.
${{M{L^2}} \over {12}}$
2007
Q72
NEET
MCQ
10 Mar 2026
A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with respect to origin O is LA when it is at A and LB when it is at B, then
A.
LA = LB
B.
the relationship between LA and LB depends upon the slope of the line AB
C.
LA < LB
D.
LA > LB.
2007
Q73
NEET
MCQ
10 Mar 2026
A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through an angle (in radian) of
A.
10
B.
12
C.
4
D.
6
2007
Q74
NEET
MCQ
10 Mar 2026
A uniform rod AB of length $l$ and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is ml2/3, the initial angular acceleration of the rod will be
A.
${{mgl} \over 2}$
B.
${3 \over 2}gl$
C.
${{3g} \over {2l}}$
D.
${{2g} \over {3l}}$
2006
Q75
NEET
MCQ
10 Mar 2026
The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc
A.
${1 \over 2}$MR2
B.
MR2
C.
${2 \over 5}M{R^2}$
D.
${3 \over 2}M{R^2}$
2006
Q76
NEET
MCQ
10 Mar 2026
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega $. The force exerted by the liquid at the other end is
A.
${{M{L^2}{\omega ^2}} \over 2}$
B.
${{ML{\omega ^2}} \over 2}$
C.
${{M{L^2}\omega } \over 2}$
D.
$ML{\omega ^2}$
2006
Q77
NEET
MCQ
10 Mar 2026
A uniform rod AB of length $l$ and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is ml2/3, the initial angular acceleration of the rod will be
A.
${{mgl} \over 2}$
B.
${3 \over 2}gl$
C.
${{3g} \over {2l}}$
D.
${{2g} \over {3l}}$
2005
Q78
NEET
MCQ
10 Mar 2026
A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle $\theta $. The frictional force
A.
dissipates energy as heat
B.
decreases the rotational motion
C.
decreases the rotational and translation motion
D.
converts translational energy to rotational energy.
2005
Q79
NEET
MCQ
10 Mar 2026
The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is
A.
MR2
B.
${1 \over 2}$ MR2
C.
${3 \over 2}$ MR2
D.
${7 \over 2}$ MR2
2005
Q80
NEET
MCQ
10 Mar 2026
Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular velocity will be in the ratio
A.
2 : 1
B.
1 : 2
C.
$\sqrt 2 :1$
D.
$1:\sqrt 2 $
2004
Q81
NEET
MCQ
10 Mar 2026
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axes in the plane of the ring is
A.
2 : 3
B.
2 : 1
C.
$\sqrt 5 :\sqrt 6 $
D.
$1:\sqrt 2 $
2004
Q82
NEET
MCQ
10 Mar 2026
A wheel having moment of inertia 2 kg m2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel's rotation in one minute would be
A.
${{2\pi } \over {15}}$ N m
B.
${\pi \over {12}}$ N m
C.
${\pi \over {15}}$ N m
D.
${\pi \over {18}}$ N m
2004
Q83
NEET
MCQ
10 Mar 2026
Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side $l$ cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm2 units will be
A.
${3 \over 4}$m$l$2
B.
2m$l$2
C.
${5 \over 4}$m$l$2
D.
${3 \over 2}$m$l$2
2004
Q84
NEET
MCQ
10 Mar 2026
A round disc of moment of inertia $I$2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia $I$1 rotating with an angular velocity $\omega $ about the same axis. The final angular velocity of the combination of discs is
A.
${{{I_2}\omega } \over {{I_1} + {I_2}}}$
B.
$\omega $
C.
${{{I_1}\omega } \over {{I_1} + I{}_2}}$
D.
${{\left( {{I_1} + {I_2}} \right)\omega } \over {{I_1}}}$
2003
Q85
NEET
MCQ
10 Mar 2026
A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ?
A.
$\sqrt {2gh} $
B.
$\sqrt {{3 \over 4}gh} $
C.
$\sqrt {{4 \over 3}gh} $
D.
$\sqrt {4gh} $
2003
Q86
NEET
MCQ
10 Mar 2026
A stone is tied to a string of length $l$ and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is
A.
$\sqrt {2\left( {{\mu ^2} - gl} \right)} $
B.
$\sqrt {{u^2} - gl} $
C.
$u - \sqrt {{u^2} - 2gl} $
D.
$\sqrt {2gl} $
2003
Q87
NEET
MCQ
10 Mar 2026
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity $\omega $. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be :
A.
${{M\omega } \over {4m}}$
B.
${{M\omega } \over {M + 4m}}$
C.
${{\left( {M + 4m} \right)\omega } \over M}$
D.
${{\left( {M - 4m} \right)\omega } \over {M + 4m}}$
2003
Q88
NEET
MCQ
10 Mar 2026
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R. then the fraction of total energy associated with its rotational energy will be
A.
${{{K^2} + {R^2}} \over {{R^2}}}$
B.
${{{K^2}} \over {{R^2}}}$
C.
${{{K^2}} \over {{K^2} + {R^2}}}$
D.
${{{R^2}} \over {{K^2} + {R^2}}}$
2002
Q89
NEET
MCQ
10 Mar 2026
A disc is rotating with angular speed $\omega $. If a child sits on it, what is conserved
A.
linear momentum
B.
angular momentum
C.
kinetic energy
D.
potential energy.
2002
Q90
NEET
MCQ
10 Mar 2026
A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of centre of mass, which is correct ?
A.
h = R
B.
h = 2R
C.
h = 0
D.
no relation between h and R.
2002
Q91
NEET
MCQ
10 Mar 2026
A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (if radius of wheel is 1 m)
A.
2 m
B.
$\sqrt {{\pi ^2} + 4} m$
C.
$\pi \,m$
D.
$\sqrt {{\pi ^2} + 2} \,m$
2002
Q92
NEET
MCQ
10 Mar 2026
A circular disc is to be made by using iron and aluminium so that it acquired maximum moment of inertia about geometrical axis. It is possible with
A.
aluminium at interior and iron surround to it
B.
iron at interior and aluminium surround to it
C.
using iron and aluminium layers in alternate order
D.
sheet of iron is used at both external surface and aluminium sheet as internal layers.
2000
Q93
NEET
MCQ
10 Mar 2026
For a hollow cylinder and a solid cylinder rolling without slipping on an inclined plane, then which of these reaches earlier
A.
solid cylinder
B.
hollow cylinder
C.
both simultaneously
D.
can't say anything.
2000
Q94
NEET
MCQ
10 Mar 2026
For the adjoining diagram, the correct relation between I1, I2, and I3 is, (I-moment of inertia)
A.
I1 > I2
B.
I2 > I1
C.
I3 > I1
D.
I3 > I2
2000
Q95
NEET
MCQ
10 Mar 2026
As shown in the figure at point O a mass is performing vertical circular motion. The average velocity of the particle is increased, then at which point will the string break
A.
A
B.
B
C.
C
D.
D