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We have a rectangular slab of same thickness. $E, F, G, H$ are the middle point of $A B, B C, C D$ and $A D$ respectively then which of the following axis the moment of inertia will be minimum:-

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Important Questions on Rotational Mechanics

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 9

Two disc one of density

7.2 {gcm}^{- 3}

and the other of density

8.9 {gcm}^{- 3}

are of same mass and thickness. Their moments of inertia are in the ratio :-

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 10

Between two eggs which have identical sizes, shapes and weights, one is raw and the other is half-boiled. The ratio of the moment of inertia of the raw egg to that of the half-boiled egg about a central axis is,

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 11

The moment of inertia of a thin uniform rod of mass

M

and length

L

about an axis perpendicular to the rod through its centre is

I

. The moment of inertia of the rod about an axis perpendicular to the rod through its end point is

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 13

Four similar point masses (each of mass $m$ ) are placed on the circumference of a disc of mass $M$ and radius $R .$ The $M . I .$ of the system about the normal axis through the centre $O$ will be:-

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 14

Two rings of same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is, (Mass of the ring

= m

, radius

= r

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 15

Three point masses, each of

m,

are placed at the corners of an equilateral triangle of side

l .

Then the moment of inertia of this system about an axis along one side of the triangle is :-

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 16

Two rods, each of mass

m

and length

l

, are joined at the center to form a cross. The moment of inertia of this cross about an axis passing through the common center of the rods and perpendicular to the plane formed by them is,

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 17

If the mass of hydrogen atom is

1.7 \times 10^{- 24} g

and interatomic distance in a molecule of hydrogen is

4 \times 10^{- 8} cm,

then the moment of inertia [in

kg - m^{2}]

of a molecule of hydrogen about the axis passing through the centre of mass and perpendicular to the line joining the atoms will be:-

We have a rectangular slab of same thickness. E, F, G, H are the middle point of AB, BC, CD and AD respectively then which of the following axis the moment of inertia will be minimum:-

Important Questions on Rotational Mechanics

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We have a rectangular slab of same thickness. $E, F, G, H$ are the middle point of $A B, B C, C D$ and $A D$ respectively then which of the following axis the moment of inertia will be minimum:-