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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Calculate the moment of inertia of a uniform disc of mass 10 kg and radius 60 cm about an axis perpendicular to its length and passing through its centre.

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प्रश्न

Calculate the moment of inertia of a uniform disc of mass 10 kg and radius 60 cm about an axis perpendicular to its length and passing through its center.

संख्यात्मक
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उत्तर

Given, m = 10 kg

r = 60 cm

r = 60 × 10-2 m

l = ?

Moment of inertia of a uniform disc

l = `"mr"^2/2`

`= (10 xx (60 xx 10^-2)^2)/2`

`= (10 xx 3600 xx 10^-4)/2`

= 1.8 kgm

Moment of inertia of a uniform disc is 1.8 kg m2.

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2021-2022 (March) Set 1

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