What is the moment of inertia of a rod about an axis passing through the centre and perpendicular to its central axis? Given that mass of rod is 1kg, length = 10cm.

Category: QuestionsWhat is the moment of inertia of a rod about an axis passing through the centre and perpendicular to its central axis? Given that mass of rod is 1kg, length = 10cm.
Editor">Editor Staff asked 1 year ago

What is the moment of inertia of a rod about an axis passing through the centre and perpendicular to its central axis? Given that mass of rod is 1kg, length = 10cm.
 
(a) 0.00083kgm^2
 
(b) 0.0833kgm^2
 
(c) 0.0033kgm^2
 
(d) 0.00033kgm^2
 
This question was posed to me in final exam.
 
My question is based upon Moment of Inertia topic in chapter System of Particles and Rotational Motion of Physics – Class 11
Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 1 year ago

Correct answer is (a) 0.00083kgm^2
 
Best explanation: Let the moment of inertia be I.
 
And M & I be the mass and length of rod respectively.
 
For the given condition,
 
I = MI^2/12
 
= 1*0.01/12 = 0.00083kgm^2.


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