Guest

If the M.I of a disc about an axis tangential and parallel to its surface is I, then its M.I about the axis tangential but perpendicular to the surface is

 If the M.I of a disc about an axis tangential and parallel to its surface is I, then its M.I about the axis tangential but perpendicular to the surface is

Grade:12

1 Answers

Aman Bansal
592 Points
11 years ago

Dear GAutham,

Moment of Inertia (Mass Moment of Inertia) - I -  is a measure of an object''s resistance to changes in rotation direction. Moment of Inertia has the same relationship to angular acceleration as mass has to linear acceleration.

For a point mass the Moment of Inertia is the mass times the square of perpendicular distance to the rotation reference axis and can be expressed as

I = m r2         (1)

where

I = moment of inertia (lbm ft2, kg m2)

m = mass (lbm, kg)

r = distance between axis and rotation mass (ft, m)

That point mass relationship are basis for all other moments of inertia since any object can be built up from a collection of point masses.

I = ∑i mi ri2 = m1 r12 + m2 r22 + ..... + mnrn2        (2)

For rigid bodies with continuous distribution of adjacent particles, the formula is better expressed as an integral

I = ∫ r2 dm         (2b)

where

dm = mass of an infinitesimally small part of the body

 

Cracking IIT just got more exciting,It s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and win by answering queries in the discussion forums. Reward points 5 + 15 for all those who upload their pic and download the ASKIITIANS Toolbar, just a simple  to download the toolbar….

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free