Rotational Motion · Physics · AP EAPCET

MCQ (Single Correct Answer)

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

AP EAPCET 2024 - 22th May Morning Shift

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

AP EAPCET 2024 - 22th May Morning Shift

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

AP EAPCET 2024 - 21th May Evening Shift

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

AP EAPCET 2024 - 21th May Evening Shift

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

AP EAPCET 2024 - 21th May Morning Shift

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

AP EAPCET 2024 - 21th May Morning Shift

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

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

AP EAPCET 2024 - 20th May Morning Shift

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

AP EAPCET 2024 - 19th May Evening Shift

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

AP EAPCET 2024 - 18th May Morning Shift

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

AP EAPCET 2022 - 5th July Morning Shift

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

AP EAPCET 2022 - 4th July Evening Shift

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

AP EAPCET 2022 - 4th July Morning Shift

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)

AP EAPCET 2021 - 20th August Morning Shift

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

AP EAPCET 2021 - 20th August Morning Shift

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.

AP EAPCET 2021 - 20th August Morning Shift

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

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

AP EAPCET 2021 - 19th August Evening Shift

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

AP EAPCET 2021 - 19th August Morning Shift

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Rotational Motion · Physics · AP EAPCET

MCQ (Single Correct Answer)