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Units And Measurement

Question
CBSEENPH11020731
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Four identical thin rods each of mass M and length l , inertial form a square frame. moment of inertia of this frame about an axis through the centre of the square and perpendicular to this plane is 

  • 4Ml2/3

  • 2Ml2/3

  • 13Ml2/3

  • Ml2/3

Solution

A.

4Ml2/3

Apply theorem of the parallel axis and the total moment of inertia will be the sum of the moment of inertia of each rod.
Moment of inertia of rod about an axis through its centre of mass and perpendicular to rod + (mass) of rod) x (perpendicular distance between two axes)

= MI squared over 12 space plus space M open parentheses l over 2 close parentheses squared space equals space open parentheses fraction numerator M I squared over denominator 3 end fraction close parentheses M o m e n t space o f space i n e r t i a space o f space t h e space s y s t e m space space equals space fraction numerator M l cubed space over denominator 3 end fraction x space 4 space equals space 4 over 3 space M l squared

Some More Questions From Units and Measurement Chapter

What is the need of measurement?

Define physical quantity.

 

Give four examples of physical quantities.

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?

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