Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 134

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The moment of inertia of disc about an axis perpendicular to its plane and passing through its centre is $\frac{M R^{2}}{2}$ . Its moment of inertia about a tangent in its plane

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Important Questions on Rotational Motion

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 135

A hollow cylinder has mass

M

, outside radius

R_{2}

and inside radius

R_{1}

. Its moment of inertia about an axis parallel to its symmetry axis and tangential to the outer surface is equal to

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 136

Four solid spheres each of mass

M

and radius

R

are placed at four corners of a light square frame of side length

4 R

such that centres of spheres coincide with corners of the square. What will be the moment of inertia of the system about an axis normal to the plane of the frame and passing through its centre?

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 137

Moment of inertia of a circular wire of mass

M

and radius

R

about a tangent perpendicular to its plane:

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 138

Two rings of radius

R

and

n R

made up of same material and same thickness have the ratio of moment of inertia about an axis passing through the centre as

1 : 8

. The value of

n

is

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 139

Two loops

P

and

Q

are made from a uniform wire. The radii of

P

and

Q

are

R_{1}

and

R_{2}

, respectively, and their moments of inertia about their axis of rotation are

I_{1}

and

I_{2}

, respectively. If

\frac{I_{2}}{I_{1}} = 4

, then

\frac{R_{2}}{R_{1}}

is

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 140

Line

PQ

is parallel to

y

-axis and moment of inertia of a rigid body about

P Q

line is given by

I = 2 x^{2} - 12 x + 27,

where

x

is in meter and

I

is in

k g

m^{2}

. The minimum value of

I

is:

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 141

The moment of inertia of a rod about an axis through its center and perpendicular to it is

\frac{1}{12} M L^{2}

(

where

M

is the mass and

L

the length of the rod

)

. The rod is bent in the middle so that the two halves make an angle of

60 °

. The moment of inertia of the bent rod about the same axis would be

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Physics Crash Course MHT-CET>Chapter 4 - Rotational Motion>Exercise 1>Q 142

Three solid spheres of mass $M$ and radius $R$ are shown in the figure. The moment of inertia of the system about $x x'$ axis will be,

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