MHT CET 2023 10th May Morning Shift | Rotational Motion Question 57 | Physics

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 shown in the figure. The moment of inertia of the system of seven discs about an axis passing through the centre of central disc and normal to the plane of all discs is

MHT CET 2023 10th May Morning Shift Physics - Rotational Motion Question 78 English

$$\frac{7}{2} \mathrm{~MR}^2$$

$$\frac{13}{2} \mathrm{~MR}^2$$

$$\frac{29}{2} \mathrm{~MR}^2$$

$$\frac{55}{2} \mathrm{~MR}^2$$

MHT CET 2023 10th May Morning Shift

MCQ (Single Correct Answer)

-0

A particle of mass '$$\mathrm{m}$$' is rotating along a circular path of radius '$$r$$' having angular momentum '$$L$$'. The centripetal force acting on the particle is given by

$$\frac{\mathrm{L}^2}{\mathrm{mr}}$$

$$\frac{\mathrm{L}^2}{\mathrm{mr}^2}$$

$$\frac{\mathrm{mL}^2}{\mathrm{r}}$$

$$\frac{\mathrm{L}^2}{\mathrm{mr}^3}$$

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

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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. Dise is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is

$$\frac{\mathrm{I}}{5}$$

$$\frac{\mathrm{I}}{6}$$

$$\frac{\mathrm{I}}{32}$$

$$\frac{\mathrm{I}}{64}$$

MHT CET 2023 9th May Morning Shift

MCQ (Single Correct Answer)

-0

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 plane and passing through the centre is equal. The ratio $$\frac{b}{R}$$ is

$$1: 1$$

$$\sqrt{3}: 1$$

$$\sqrt{6}: 1$$

$$1: \sqrt{3}$$

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