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Units And Measurement

Question
CBSEENPH11020769
Wired Faculty App

A uniform rod AB of length l and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A  is ml2/3, the initial angular acceleration of the rod will be:

  • 2g/3l

  • mgl/2

  • 3gl/2

  • 3g/2l

Solution

D.

3g/2l

The moment of inertia of the uniform rod about an axis through one end and perpendicular to its length is 
l = ml3/3
where m is a mass of rod and l is the
straight tau space equals space mg straight iota over 2 Iα space equals space mg straight l over 2 ml squared over 3 straight alpha space equals space mg straight l over 2 straight alpha space equals space fraction numerator 3 straight g over denominator 2 straight l end fractionlength.
Torque acting on centre of gravity of rod is given by

Some More Questions From Units and Measurement Chapter

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

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How many fundamental quantities are there in Physics?

Name the fundamental quantities of mechanics.

Name the different system of units in mechanics that are internationally accepted.

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