The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid - point and perpendicular to its length is I_o. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

I_o + ML²/4

I_o + 2ML²

I_o + ML²

I_o + ML²/2

Solution

I_o + ML²/4

The theorem of parallel axis for moment of inertia
I = I_CM + Mh^{2
$space straight I space equals space straight I subscript straight o space plus straight M space open parentheses straight L over 2 close parentheses squared straight I space equals thin space straight I subscript straight o space plus ML squared over 4$}

Some More Questions From Units and Measurement Chapter

Can we use different units to measure same physical quantity?

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Units And Measurement

Some More Questions From Units and Measurement Chapter

Can we use different units to measure same physical quantity?

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

How many fundamental quantities are there in mechanics?

How many fundamental quantities are there in Physics?

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Units And Measurement

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid - point and perpendicular to its length is Io. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is Io + ML2/4 Io + 2ML2 Io + ML2 Io + ML2/2

Some More Questions From Units and Measurement Chapter

Can we use different units to measure same physical quantity?

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

How many fundamental quantities are there in mechanics?

How many fundamental quantities are there in Physics?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation