# Rotational Motion · Physics · MHT CET

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MHT CET 2023 14th May Evening Shift
Four identical uniform solid spheres each of same mass '$$M$$' and radius '$$R$$' are placed touching each other as shown in figure, with centres A, B...
MHT CET 2023 14th May Evening Shift
A solid cylinder and a solid sphere having same mass and same radius roll down on the same inclined plane. The ratio of the acceleration of the cylind...
MHT CET 2023 14th May Evening Shift
A mass '$$M$$' is moving with constant velocity parallel to $$\mathrm{X}$$-axis. Its angular momentum with respect to the origin is
MHT CET 2023 14th May Morning Shift
A thin uniform rod of mass '$$m$$' and length '$$P$$' is suspended from one end which can oscillate in a vertical plane about the point of intersectio...
MHT CET 2023 13th May Evening Shift
Four identical uniform solid spheres each of same mass $$M$$ and radius $$R$$ are placed touching each other as shown in figure with centres $$A, B, C... MHT CET 2023 13th May Evening Shift A thin uniform$$\operatorname{rod} A B$$of mass$$m$$and length$$l$$is hinged at one end$$A$$to the ground level. Initially the rod stands vert... MHT CET 2023 13th May Morning Shift A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its angular momentum will become MHT CET 2023 13th May Morning Shift The rotational kinetic energy and translational kinetic energy of a rolling body are same, the body is MHT CET 2023 13th May Morning Shift A solid cylinder of mass$$3 \mathrm{~kg}$$is rolling on a horizontal surface with velocity$$4 \mathrm{~m} / \mathrm{s}$$. It collides with a horizo... MHT CET 2023 12th May Evening Shift A thin wire of length '$$L$$' and uniform linear mass density '$$m$$' is bent into a circular coil. The moment of inertia of this coil about tangentia... MHT CET 2023 12th May Evening Shift In$$\mathrm{P}^{\text {th }}$$second, a particle describes angular displacement of '$$\beta$$' rad. If it starts from rest, the angular acceleration... MHT CET 2023 12th May Morning Shift$$I_1$$is the moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the plane of disc.$$I_2$$is its mo... MHT CET 2023 12th May Morning Shift A thin uniform circular disc of mass '$$\mathrm{M}$$' and radius '$$R$$' is rotating with angular velocity '$$\omega$$', in a horizontal plane about a... MHT CET 2023 11th May Evening Shift Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their an... MHT CET 2023 11th May Evening Shift From a disc of mass '$$M$$' and radius '$$R$$', a circular hole of diameter '$$R$$' is cut whose rim passes through the centre. The moment of inertia ... MHT CET 2023 11th May Morning Shift A particle moves along a circular path with decreasing speed. Hence MHT CET 2023 11th May Morning Shift Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is$$\mathrm{K}_{\mathrm{c...
MHT CET 2023 11th May Morning Shift
A disc has mass $$M$$ and radius $$R$$. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity '$$\... MHT CET 2023 10th May Evening Shift What is the moment of inertia of the electron moving in second Bohr orbit of hydrogen atom? [$$\mathrm{h}=$$Planck's constant,$$\mathrm{m}=$$mass ... MHT CET 2023 10th May Evening Shift Two spheres each of mass '$$M$$' and radius$$\frac{R}{2}$$are connected at the ends of massless rod of length '$$2 R$$'. What will be the moment of ... MHT CET 2023 10th May Evening Shift The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre is$$\frac{\mathrm{Ma}^2}{6}$$... MHT CET 2023 10th May Morning Shift If 'I' is moment of inertia of a thin circular disc about an axis passing through the tangent of the disc and in the plane of disc. The moment of iner... MHT CET 2023 10th May Morning Shift Seven identical discs each of mass$$M$$and radius$$\mathrm{R}$$are arranged in a hexagonal plane pattern so as to touch each neighbour disc as sho... MHT CET 2023 10th May Morning Shift A particle of mass '$$\mathrm{m}$$' is rotating along a circular path of radius '$$r$$' having angular momentum '$$L$$'. The centripetal force acting ... MHT CET 2023 9th May Evening Shift A disc of radius$$R$$and thickness$$\frac{R}{6}$$has moment of inertia I about an axis passing through its centre and perpendicular to its plane. ... MHT CET 2023 9th May Morning Shift A square lamina of side '$$b$$' has same mass as a disc of radius '$$R$$' the moment of inertia of the two objects about an axis perpendicular to the ... MHT CET 2023 9th May Morning Shift A solid sphere rolls without slipping on an inclined plane at an angle$$\theta$$. The ratio of total kinetic energy to its rotational kinetic energy ... MHT CET 2023 9th May Morning Shift Two discs of same mass and same thickness (t) are made from two different materials of densities '$$d_1$$' and '$$d_2$$' respectively. The ratio of th... MHT CET 2021 24th September Evening Shift The moment of inertia of a thin uniform rod of mass 'M' and length 'L' about an axis passing through a point at a distance$$\frac{L}{4}$$from one of... MHT CET 2021 24th September Morning Shift Two identical particles each of mass '$$m$$' are separated by a distance '$$d$$'. The axis of rotation passes through the midpoint of '$$\mathrm{d}$$'... MHT CET 2021 24th September Morning Shift A body of mass '$$\mathrm{m}$$' and radius of gyration '$$\mathrm{K}$$' has an angular momentum$$\mathrm{L}$$. Its angular velocity is MHT CET 2021 23rd September Evening Shift The moment of inertia of a body about the given axis, rotating with angular velocity 1 rad/s is numerically equal to 'P' times its rotational kinetic ... MHT CET 2021 23rd September Evening Shift Two circular loops P and Q are made from a uniform wire. The radii of P and Q are R$$_1$$and R$$_2$$respectively. The momentsw of inertia about thei... MHT CET 2021 23rd September Evening Shift A metre scale is supported on a wedge at its centre of gravity. A body of weight 'w'. is suspended from the$$20 \mathrm{~cm}$$mark and another weigh... MHT CET 2021 23rd September Evening Shift A body of mass 'm' and radius of gyration 'K' has an angular momentum 'L'. Then its angular velocity is MHT CET 2021 23th September Morning Shift A molecule consists of two atoms each of mass '$$m$$' and separated by a distance '$$\mathrm{d}$$'. At room temperature, if the average rotational kin... MHT CET 2021 23th September Morning Shift Three solid spheres each of mass '$$M$$' and radius '$$R$$' are arranged as shown in the figure. The moment of inertia of the system about YY' will be... MHT CET 2021 23th September Morning Shift Figure shows triangular lamina which can rotate about different axes moment of inertia is maximum, about the axis... MHT CET 2021 22th September Evening Shift A particle with position vector$$\overrightarrow{\mathrm{r}}$$has a linear momentum$$\overrightarrow{\mathrm{P}}$$. Which one of the following stat... MHT CET 2021 22th September Evening Shift A child is standing with folded hands at the centre of the platform rotating about its central axis. The kinetic energy of the system is '$$K$$'. The ... MHT CET 2021 22th September Evening Shift Two rings of radius 'R' and 'nR' made of same material have the ratio of moment of inertia about an axis passing through its centre and perpendicular ... MHT CET 2021 22th September Morning Shift Two rotating bodies$$P$$and$$Q$$of masses '$$\mathrm{m}$$' and '$$2 \mathrm{~m}$$' with moment of inertia$$I_P$$and$$I_Q\left(I_Q > I_P\right)$... MHT CET 2021 22th September Morning Shift A solid sphere of mass '$$M$$' and radius '$$R$$' is rotating about its diameter. A solid cylinder of same mass and same radius is also rotating about... MHT CET 2021 21th September Evening Shift A particle performs rotational motion with an angular momentum 'L'. If frequency of rotation is doubled and its kinetic energy becomes one fourth, the... MHT CET 2021 21th September Evening Shift Three rings each of mass 'M' and radius 'R' are arranged as shown in the figure. The moment of inertia of system about axis YY' will be... MHT CET 2021 21th September Morning Shift The moment of inertia of a circular disc of radius $$2 \mathrm{~m}$$ and mass $$1 \mathrm{~kg}$$ about an axis XY passing through its centre of mass a... MHT CET 2021 21th September Morning Shift The moment of inertia of a body about a given axis is $$1.2 \mathrm{~kg} / \mathrm{m}^3$$. Initially the body is at rest. In order to produce rotation... MHT CET 2021 20th September Evening Shift A disc of radius 0.4 metre and mass 1 kg rotates about an axis passing through its centre and perpendicular to its plane. The angular acceleration is ... MHT CET 2021 20th September Evening Shift The ratio of radii of gyration of a circular ring and circular disc of the same mass and radius, about an axis passing through their centres and perpe... MHT CET 2021 20th September Morning Shift A solid sphere of mass $$\mathrm{M}$$, radius $$\mathrm{R}$$ has moment of inertia '$$\mathrm{I}$$' about its diameter. It is recast into a disc of th... MHT CET 2021 20th September Morning Shift Two bodies rotate with kinetic energies 'E$$_1$$' and 'E$$_2$$'. Moments of inertia about their axis of rotation are 'I$$_1$$' and 'I$$_2$$'. If $$\ma... MHT CET 2021 20th September Morning Shift A disc of radius 0.4 m and mass one kg rotates about an axis passing through its centre and perpendicular to its plane. The angular acceleration of th... MHT CET 2020 16th October Evening Shift A body slides down a smooth inclined plane having angle$$\theta$$and reaches the bottom with velocity$$v$$. If a body is a sphere, then its linear ... MHT CET 2020 16th October Evening Shift A thin uniform rod has mass$$M$$and length$$L$$The moment of inertia about an axis perpendicular to it and passing through the point at a distance... MHT CET 2020 16th October Evening Shift The ratio of radii of gyration of a ring to a disc (both circular) of same radii and mass, about a tangential axis perpendicular to the plane is... MHT CET 2020 16th October Morning Shift If there is a change of angular momentum from$$1 \mathrm{j}$$-$$\mathrm{s}$$to$$4 \mathrm{j}$$-$$\mathrm{s}$$in$$4 \mathrm{~s}$$, then the torque... MHT CET 2020 16th October Morning Shift A solid cylinder of radius$$r$$and mass$$M$$rolls down an inclined plane of height$$h$\$. When it reaches the bottom of the plane, then its rotati...
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