iCON Education - Rotational Motion AP-EAPCET Test

Candidate Name

Student

Exam Name

AP-EAPCET

Test Name

Rotational Motion

Subject

Physics

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Question 1: Palette 1/39

AP-EAPCET 2025 MCQ

The moment of inertia of a solid cylinder of mass 2.5 kg and radius 10 cm about its axis is

$0.0725 \mathrm{kgm}^2$

$12500 \mathrm{kgm}^2$

$0.0125 \mathrm{kgm}^2$

$72500 \mathrm{kgm}^2$

Question 2: Palette 2/39

AP-EAPCET 2025 MCQ

The angular velocity of a body changes from $6 \mathrm{rad} \mathrm{s}^{-1}$ to $21 \mathrm{rad} \mathrm{s}^{-1}$ in a time of 1.5 s . If the moment of inertia of the body is $\mathrm{g} \mathrm{m}^2$, then the rate of change of angular momentum of the body is

0.12 Nm

0.6 Nm

1 Nm

0.8 Nm

Question 3: Palette 3/39

AP-EAPCET 2025 MCQ

A circular dise of diameter 0.8 m and mass 4 kg is rolling on a smooth horizontal plane. If 2.56 N m torque is acting on the disc, then its angular acceleration is

$8 \mathrm{rad} \mathrm{s}^{-2}$

$4 \mathrm{rad} \mathrm{s}^{-2}$

$2 \mathrm{red} \mathrm{s}^{-2}$

$16 \mathrm{rad} \mathrm{s}^{-2}$

Question 4: Palette 4/39

AP-EAPCET 2025 MCQ

A solid sphere and a solid cylinder have same mass and same radius. The ratio of the moment of inertia of the solid sphere about its diameter and the moment of inertia of the solid cylinder about its axis is

$3: 5$

$4: 5$

$3: 1$

$2: 1$

Question 5: Palette 5/39

AP-EAPCET 2025 MCQ

If a solid sphere is rolling without slipping on a horizontal plane, then the ratio of its rotational and total kinetic energies is

$2: 5$

$2: 7$

$4: 3$

$1: 2$

Question 6: Palette 6/39

AP-EAPCET 2025 MCQ

As shown in the figure, two thin coplanar circular discs $A$ and $B$ each of mass $M^{\prime}$ and radius ' $r$ ' are attached to form a rigid body. The moment of inertia of this system about an axis perpendicular to the plane of disc $B$ and passing through its centre is

AP EAPCET 2025 - 24th May Morning Shift Physics - Rotational Motion Question 4 English

$2 M r^2$

$3 M r^2$

$4 M r^2$

$5 M r^2$

Question 7: Palette 7/39

AP-EAPCET 2025 MCQ

A circular disc of mass 20 kg and radius 1 m is rotating about an axis passing through its centre and perpendicular to its plane with an angular velocity of $2 \mathrm{rad} \mathrm{s}^{-1}$. Then, the rotational kinetic energy of the disc is

100 J

50 J

75 J

20 J

Question 8: Palette 8/39

AP-EAPCET 2025 MCQ

Radius of gyration of a thin uniform rod of length ' $L$ ' about an axis passing through its centre and perpendicular to its length is

$\frac{L}{\sqrt{12}}$

$\frac{L}{12}$

$L \sqrt{12}$

$12 L$

Question 9: Palette 9/39

AP-EAPCET 2025 MCQ

A thin circular ring and a circular disc of equal mass are rolling without sliding. If their linear velocities are equal and the total kinetic energy of the disc is 6 J , then the total kinetic energy of the ring is

6 J

3 J

8 J

4 J

Question 10: Palette 10/39

AP-EAPCET 2025 MCQ

A solid sphere of mass 4 kg and radius 28 cm is on an inclined plane. If the acceleration of the sphere when it rolls down without sliding is $3.5 \mathrm{~ms}^{-2}$, then the acceleration of the sphere when it slides down without rolling is

$2.5 \mathrm{~ms}^{-2}$

$3.5 \mathrm{~ms}^{-2}$

$1.7 \mathrm{~ms}^{-2}$

$4.9 \mathrm{~ms}^{-2}$

Question 11: Palette 11/39

AP-EAPCET 2025 MCQ

A thin uniform circular disc rolls with a constant velocity without slipping on a horizontal surface. Its total kinetic energy is

three times its rotational kinetic energy

three times its translational kinetic energy

one and half times its rotational kinetic energy

twice its translational kinetic energy

Question 12: Palette 12/39

AP-EAPCET 2025 MCQ

Three thin uniform rods each of mass $M$ and length $L$ are placed along the three axes of a cartesian co-ordinate system with one end of all the rods at origin. The moment of inertia of the system of the rods about $Z$-axis is

$\frac{M L^2}{3}$

$\frac{2 M L^2}{3}$

$\frac{M L^2}{2}$

$M L^2$

Question 13: Palette 13/39

AP-EAPCET 2025 MCQ

If the radius of gyration of a thin circular ring about an axis passing through its centre and perpendicular to its plane is $10 \sqrt{2} \mathrm{~cm}$, then its radius of gyration about its diameter is

10 cm

20 cm

$10 \sqrt{2} \mathrm{~cm}$

$20 \sqrt{2} \mathrm{~cm}$

Question 14: Palette 14/39

AP-EAPCET 2025 MCQ

If a wheel starting from rest is rotating with an angular acceleration of $\pi \mathrm{rad} \mathrm{s}^{-2}$, then the number of rotations made by the wheel in the first 6 seconds time is

Question 15: Palette 15/39

AP-EAPCET 2024 MCQ

The moment of inertia of a solid sphere about its diameter is $20 \mathrm{~kg}-\mathrm{m}^2$. The moment of inertia of a thin spherical shell having the same mass and radius about its diameter is

$16.6 \mathrm{~kg}-\mathrm{m}^2$

$30.3 \mathrm{~kg}-\mathrm{m}^2$

$33.3 \mathrm{~kg}-\mathrm{m}^2$

$66.6 \mathrm{~kg}-\mathrm{m}^2$

Question 16: Palette 16/39

AP-EAPCET 2024 MCQ

One ring, one solid sphere and one solid cylinder are rolling down on same inclined plane starting from rest The radius of all the three are equal. The object reaches down with maximum velocity is

solid cylinder

solid sphere

ring

solid sphere and ring

Question 17: Palette 17/39

AP-EAPCET 2024 MCQ

A uniform metal solid sphere is rotating with angular speed $\omega_0$ about diameter. If the temperature is raised by $50^{\circ} \mathrm{C}$. The angular speed will be [given $\alpha_{\text {metal }}=20 \times 10^{-5 \circ} \mathrm{C}^{-1}$ ]

$0.95 \omega_0$

$0.96 \omega_0$

$0.98 \omega_0$

$\omega_0$ (angular velocity is same)

Question 18: Palette 18/39

AP-EAPCET 2024 MCQ

A ring and a disc of same mass and same diameter are rolling without slipping. Their linear velocities are same, then the ratio of their kinetic energy is

0.75

1.33

0.5

2.66

Question 19: Palette 19/39

AP-EAPCET 2024 MCQ

The moment of inetia of a rod about an axis passing through its centre and perpendicular to its length is $\frac{1}{12} M L^2$, where $M$ is the mass and $L$ is the length of the rod. The rod is bent in the middle, so that the two halves make an angle of $60^{\circ}$. The moment of inertia of the bent rod about the same axis would be

$\frac{1}{48} M L^2$

$\frac{1}{12} M L^2$

$\frac{1}{24} M L^2$

$\frac{1}{8 \sqrt{3}} M L^2$

Question 20: Palette 20/39

AP-EAPCET 2024 MCQ

A uniform rod of length $2 L$ is placed with one end in contact with the earth and is then inclined at an angle $\alpha$ to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be

$\sqrt{\frac{3 g \sin \alpha}{2 L}}$

$\sqrt{\frac{2 L}{3 g \sin \alpha}}$

$\sqrt{\frac{6 g \sin \alpha}{L}}$

$\sqrt{\frac{L}{g \sin \alpha}}$

Question 21: Palette 21/39

AP-EAPCET 2024 MCQ

A solid cylinder rolls down on an inclined plane of height $h$ and inclination $\theta$. The speed of the cylinder at the bottom is

$\sqrt{\frac{g h}{2}}$

$\sqrt{\frac{3 g h}{2}}$

$\sqrt{2 g h}$

$\sqrt{\frac{4 g h}{3}}$

Question 22: Palette 22/39

AP-EAPCET 2024 MCQ

Three particles of each mass $m$ are kept at the three vertices of an equilateral triangle of side $l$. The moment of inertia of a system of the particles about any side of the triangle is

$\frac{m l^2}{4}$

$m l^2$

$\frac{3}{4} m l^2$

$\frac{2}{3} m l^2$

Question 23: Palette 23/39

AP-EAPCET 2024 MCQ

The masses of a solid cylinder and hollow cylinder ate 3.2 kg and 1.6 kg respectively. Both the solid and hollow cylinders start from rest from the top of an inclined plane and roll down without slipping. If both the cylinder have equal radius and the acceleration of solid cylinder is $4 \mathrm{~ms}^{-1}$, the acceleration of hollow cylinder is

$2 \mathrm{~ms}^{-2}$

$9 \mathrm{~ms}^{-2}$

$6 \mathrm{~ms}^{-2}$

$3 \mathrm{~ms}^{-2}$

Question 24: Palette 24/39

AP-EAPCET 2024 MCQ

A solid sphere of mass 50 kg and radius 20 cm is rotating about its diameter with an angular velocity d 420 rpm . The angular momentum of the sphere is

$8.8 \mathrm{~J}-\mathrm{s}$

$70.4 \mathrm{~J}-\mathrm{s}$

$17.6 \mathrm{~J}-\mathrm{s}$.

$35.2 \mathrm{~J}-\mathrm{s}$

Question 25: Palette 25/39

AP-EAPCET 2024 MCQ

A block $P$ is rotating in contact with the vertical wall of a rotor as shown in figures $A, B, C$. The relation between angular velocities $\omega_A, \omega_B$ and $\omega_C$, so that block does not slide down. ( $R_A < R_b < R_c $ radii) AP EAPCET 2024 - 20th May Evening Shift Physics - Rotational Motion Question 25 English

AP EAPCET 2024 - 20th May Evening Shift Physics - Rotational Motion Question 25 English

$\omega_A<\omega_B<\omega_C$

$\omega_A=\omega_B=\omega_C$

$\omega_C<\omega_B<\omega_A$

$\omega_C=\omega_A+\omega_B$

Question 26: Palette 26/39

AP-EAPCET 2024 MCQ

The moment of inertia of a solid sphere of mass 20 kg and diameter 20 cm about the tangent to the sphere is

$0.24 \mathrm{kgm}^2$

$0.14 \mathrm{kgm}^2$

$0.28 \mathrm{kgm}^2$

$0.08 \mathrm{kgm}^2$

Question 27: Palette 27/39

AP-EAPCET 2024 MCQ

A solid cylinder rolls down an inclined plane without slipping. If the translation kinetic energy of the cylinder is 140 J . The total kinetic energy of the cylinder is

105 J

70 J

210 J

280 J

Question 28: Palette 28/39

AP-EAPCET 2024 MCQ

The moment of inertia of a solid cylinder and a hollow cylinder of same mass and same radius about the axes of the cylinders are $I_1$ and $I_2$. The relation between $I_1$ and $I_2$ is

$L_1< I_2$

$t_1=l_2$

$l_1>I_2$

$L_1=I_2=0$

Question 29: Palette 29/39

AP-EAPCET 2022 MCQ

A solid cylinder of radius $R$ is at rest at a height $h$ on an inclined plane. If it rolls down then its velocity on reaching the ground is

$\sqrt{\frac{5 g h}{3}}$

$\sqrt{\frac{2 h}{3 g}}$

$\sqrt{\frac{2 g h}{3}}$

$\sqrt{\frac{4 g h}{3}}$

Question 30: Palette 30/39

AP-EAPCET 2022 MCQ

A solid sphere of radius $R$ has its outer half removed, so that its radius becomes $(R / 2)$. Then its moment of inertia about the diameter is

becomes $\frac{1}{2}$ of its initial value.

is unchanged.

becomes $\frac{1}{16}$ of initial value.

becomes $\frac{1}{32}$ of initial value.

Question 31: Palette 31/39

AP-EAPCET 2022 MCQ

Consider a disc of radius $R$ and mass $M$. A hole of radius $\frac{R}{3}$ is created in the disc, such that the centre of the hole is $\frac{R}{3}$ away from centre of the disc. The moment of inertia of the system along the axis perpendicular to the disc passing through the centre of the disc is

$\frac{M R^2}{2}$

$\frac{13}{27} M R^2$

$\frac{1}{3} M R^2$

$4 M R^2$

Question 32: Palette 32/39

AP-EAPCET 2021 MCQ

As solid sphere of mass $M$ and radius $R$ spins about an axis passing through its centre making $600 \mathrm{~rpm}$. Its kinetic energy of rotation is

$\frac{2 \pi^2}{5} M R$

$\frac{2 \pi}{5} M^2 R^2$

$80 \pi \mathrm{MR}$

$80 \pi^2 M R^2$

Question 33: Palette 33/39

AP-EAPCET 2021 MCQ

Two fly wheels $A$ and $B$ are mounted side by side with frictionless bearings on a common shaft. Their moments of inertia about the shaft are $5.0 \mathrm{~kg}-\mathrm{m}^2$ and $20.0 \mathrm{~kg}-\mathrm{m}^2$, respectively. Wheel $A$ is made to rotate at $10 \mathrm{~rev}$ per second. Wheel $B$, initially stationary, is now coupled to $A$ with the help of a clutch. The rotation speed of the wheels will become

$2 \sqrt{5} \mathrm{~rps}$

$0.5 \mathrm{~rps}$

$2 \mathrm{~rps}$

$3 \mathrm{~rps}$

Question 34: Palette 34/39

AP-EAPCET 2021 MCQ

A sphere and a hollow cylinder without slipping, roll down two separate inclined planes A and B, respectively. They cover same distance in a given duration. If the angle of inclination of plane A is 30$^\circ$, then the angle of inclination of plane B must be (approximately)

60$^\circ$

53$^\circ$

45$^\circ$

37$^\circ$

Question 35: Palette 35/39

AP-EAPCET 2021 MCQ

Four spheres each of diameter $2 a$ and mass $m$ are placed in a way that their centers lie on the four corners of a square of side $b$. Moment of inertia of the system about an axis along one of the sides of the square is

$\frac{8}{5} m a^2$

$\frac{4}{5} m a^2+5 m b^2$

$\frac{4}{5} m a^2+2 m b^2$

$\frac{8}{5} m a^2+2 m b^2$

Question 36: Palette 36/39

AP-EAPCET 2021 MCQ

If an energy of 684 J is needed to increase the speed of a flywheel from 180 rpm to 360 rpm, then find its moment of inertia.

0.7 kg/m$^2$

1.28 kg/m$^2$

2.75 kg/m$^2$

7.28 kg/m$^2$

Question 37: Palette 37/39

AP-EAPCET 2021 MCQ

A sphere of mass m is attached to a spring of spring constant k and is held in unstretched position over an inclined plane as shown in the figure. After letting the sphere go, find the maximum length by which the spring extends, given the sphere only rolls.

AP EAPCET 2021 - 19th August Evening Shift Physics - Rotational Motion Question 37 English

$\frac{2 m g \sin \theta}{k}$

$\frac{k}{2 m g \sin \theta}$

$\frac{2 \sin \theta}{k m g}$

$\frac{2 m g \cos \theta}{k}$

Question 38: Palette 38/39

AP-EAPCET 2021 MCQ

A girl of mass M stands on the rim of a frictionless merry-go-round of radius R and rotational inertia I, that is not moving. She throws a rock of mass m horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground is v. Afterwards, the linear speed of the girl is

$\frac{m v R^2}{I+M R^2}$

$\frac{(m+M) v R^2}{I+M R^2}$

$\frac{m v R^2}{I+(M+m) R^2}$

$\frac{m v R^2}{I+(M-m) R^2}$

Question 39: Palette 39/39

AP-EAPCET 2021 MCQ

Which of the following type of wheels of same mass and radius will have largest moment of inertia?

Ring

Angular disc

Solid disc

Cylindrical disc

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