1

JEE Main 2020 (Online) 4th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

Consider two uniform discs of the same thickness and different radii R

R

_{1}= R andR

_{2}= $$\alpha $$R made of the same material. If the ratio of their moments of inertia I_{1}and I_{2}, respectively, about their axes is I_{1}: I_{2}= 1 : 16 then the value of $$\alpha $$ is :2

JEE Main 2020 (Online) 4th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes
perpendicular to the sheet and passing through O (the centre of mass) and O' (corner point) is :

3

JEE Main 2020 (Online) 3rd September Evening Slot

MCQ (Single Correct Answer)

+4

-1

A uniform rod of length ‘$$l$$’ is pivoted at one of its ends on a vertical shaft of negligible radius.
When the shaft rotates at angular speed $$\omega $$ the rod makes an angle $$\theta $$ with it (see figure). To find $$\theta $$
equate the rate of change of angular momentum (direction going into the paper) $${{m{l^2}} \over {12}}{\omega ^2}\sin \theta \cos \theta $$
about the centre of mass (CM) to the torque provided by the horizontal and vertical forces F

_{H}and F_{V}about the CM. The value of $$\theta $$ is then such that :4

JEE Main 2020 (Online) 3rd September Morning Slot

MCQ (Single Correct Answer)

+4

-1

Moment of inertia of a cylinder of mass M,
length L and radius R about an axis passing
through its centre and perpendicular to the
axis of the cylinder is

I = $$M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)$$. If such a cylinder is to be made for a given mass of a material, the ratio $${L \over R}$$ for it to have minimum possible I is

I = $$M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)$$. If such a cylinder is to be made for a given mass of a material, the ratio $${L \over R}$$ for it to have minimum possible I is

Questions Asked from Rotational Motion (MCQ (Single Correct Answer))

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