JEE Main 2021 (Online) 24th February Evening Slot | Rotational Motion Question 64 | Physics

JEE Main 2021 (Online) 24th February Evening Slot

MCQ (Single Correct Answer)

-1

A circular hole of radius $$\left( {{a \over 2}} \right)$$ is cut out of a circular disc of radius 'a' as shown in figure. The centroid of the remaining circular portion with respect to point 'O' will be :

JEE Main 2021 (Online) 24th February Evening Slot Physics - Rotational Motion Question 63 English

JEE Main 2021 (Online) 24th February Evening Slot Physics - Rotational Motion Question 63 English

$${1 \over 6}a$$

$${2 \over 3}a$$

$${5 \over 6}a$$

$${10 \over 11}a$$

JEE Main 2021 (Online) 24th February Morning Slot

MCQ (Single Correct Answer)

-1

Moment of inertia (M. I.) of four bodies, having same mass and radius, are reported as;

I₁ = M.I. of thin circular ring about its diameter,

I₂ = M.I. of circular disc about an axis perpendicular to disc and going through the centre,

I₃ = M.I. of solid cylinder about its axis and

I₄ = M.I. of solid sphere about its diameter.

Then :

I₁ = I₂ = I₃ > I₄

I₁ + I₃ < I₂ + I₄

I₁ = I₂ = I₃ < I₄

I₁ + I₂ = I₃ + $${5 \over 2}$$ I₄

JEE Main 2020 (Online) 6th September Evening Slot

MCQ (Single Correct Answer)

-1

The linear mass density of a thin rod AB of length L varies from A to B as
$$\lambda \left( x \right) = {\lambda _0}\left( {1 + {x \over L}} \right)$$, where x is the distance from A. If M is the mass of the rod then its moment of inertia about an axis passing through A and perpendicular to the rod is :

$${2 \over 5}M{L^2}$$

$${5 \over {12}}M{L^2}$$

$${7 \over {18}}M{L^2}$$

$${3 \over 7}M{L^2}$$

JEE Main 2020 (Online) 6th September Morning Slot

MCQ (Single Correct Answer)

-1

Four point masses, each of mass m, are fixed at the corners of a square of side $$l$$. The square is rotating with angular frequency $$\omega $$, about an axis passing through one of the corners of the square and parallel to its diagonal, as shown in the figure. The angular momentum of the square about this axis is : JEE Main 2020 (Online) 6th September Morning Slot Physics - Rotational Motion Question 72 English