JEE Main 2021 (Online) 31st August Evening Shift | Rotational Motion Question 96 | Physics

A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of light rod. The distance between the centres of the two spheres is 5 m. What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint?

18.75 kgm²

1.905 $$\times$$ 10⁵ kgm²

19.05 kgm²

1.875 $$\times$$ 10⁵ kgm²

JEE Main 2021 (Online) 31st August Morning Shift

MCQ (Single Correct Answer)

-1

Angular momentum of a single particle moving with constant speed along circular path :

changes in magnitude but remains same in the direction

remains same in magnitude and direction

remains same in magnitude but changes in the direction

is zero

JEE Main 2021 (Online) 27th August Evening Shift

MCQ (Single Correct Answer)

-1

Two discs have moments of inertia I₁ and I₂ about their respective axes perpendicular to the plane and passing through the centre. They are rotating with angular speeds, $$\omega$$₁ and $$\omega$$₂ respectively and are brought into contact face to face with their axes of rotation coaxial. The loss in kinetic energy of the system in the process is given by :

$${{{I_1}{I_2}} \over {({I_1} + {I_2})}}{({\omega _1} - {\omega _2})^2}$$

$${{{{({I_1} - {I_2})}^2}{\omega _1}{\omega _2}} \over {2({I_1} + {I_2})}}$$

$${{{I_1}{I_2}} \over {2({I_1} + {I_2})}}{({\omega _1} - {\omega _2})^2}$$

$${{{{({\omega _1} - {\omega _2})}^2}} \over {2({I_1} + {I_2})}}$$

JEE Main 2021 (Online) 27th August Morning Shift

MCQ (Single Correct Answer)

-1

Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is given by :

$${{M{l^2}} \over 6}$$

$${M{l^2}}$$

$${{M{l^2}} \over {12}}$$

$${2 \over 3}M{l^2}$$

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