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Units And Measurement

Question
CBSEENPH11017584
Wired Faculty App

Write an expression for the moment of inertia of solid cylinder of mass M, radius R and length L about an

(i) axis of symmetry of cylinder.

(ii) axis through the center and perpendicular to the axis of symmetry.

(iii) axis through center of cap and perpendicular to the axis of symmetry.

Solution

Given, a solid cylinder os mass M, radius R and length L. 
So, 
left parenthesis straight i right parenthesis space M o m e n t space o f space I n e r t i a space a b o u t space t h e space space space space space a x i s space o f space s y m m e t r y space o f space c y l i n d e r comma space straight I space equals space MR squared space left parenthesis ii right parenthesis space M o m e n t space o f space I n e r t i a space a b o u t space t h e space a x i s space t h r o u g h space space space space space space t h e space c e n t r e space a n d space p e r p e n d i c u l a r space t o space t h e space a x i s space space space space space space o f space s y m m e t r y comma space straight I equals 1 half MR squared plus 1 over 12 ML squared space left parenthesis iii right parenthesis space M o m e n t space o f space i n e r t i a space t h r o u g h space c e n t r e space o f space c a p space a n d space space space space space space p e r p e n d i c u l a r space t o space t h e space a x i s space o f space s y m m e t r y comma space straight I equals 1 half MR squared plus 1 third ML squared

Some More Questions From Units and Measurement Chapter

Define unit.

What are the two main required characteristics of a unit?

Can we use same units for different physical quantities?

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?

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