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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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Important Questions on Rotational Mechanics

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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:-

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 18

If a body completes one revolution in

π \sec

then the moment of inertia would be:-

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 19

For the same total mass, which of the following will have the largest moment of inertia about an axis passing through its center of mass and perpendicular to the plane of the body?

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 20

Two rods of equal mass

m

and length

l

lie along the

x

-axis and the

y

-axis with their centers at the origin. What is the moment of inertia of both about the line,

x = y

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Beta Question Bank for Engineering: Physics>Chapter 10 - Rotational Mechanics>Exercise-1>Q 21

A rigid body can be hinged about any point on the

x

-axis such that the hinge is at

x

. The moment of inertia is given by,

I = x^{2} - 2 x + 99

. The

x

-coordinate of the centre of mass is,

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:-

Important Questions on Rotational Mechanics

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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:-