Problem on moment of inertia

1. May 3, 2014

Sumanth

Find moment of inertia of a uniform quarter disc of radius R
and mass M about an axis through its centre of mass and
perpendicular to its plane ........

I tried in the following way:

I considered the relation. I= Icm + Md2
Where d is the distance between required axis and centre of mass.......

Last edited: May 3, 2014
2. May 3, 2014

SteamKing

Staff Emeritus
There's nothing wrong with your formula. However, it does require the use of the quantity (Icm) you are asked to determine by the original problem.

Do you know the center of mass location for a quarter circle?

In this problem, you must not only determine in location of the c.o.m. (if it is not already known) and also the moment of inertia of a quarter circle. I think it will probably take a little calculus to do both.

3. May 3, 2014

Sumanth

K thanx for ur suggestion i will try to solve the problem

4. May 3, 2014

haruspex

No, in this case i think the formula can be applied in the opposite direction usefully. It is relatively easy to find the M of I about the circle's centre (i.e. the corner of the quarter circle). Once the centre of mass has been determined, the M of I about that can be deduced from the formula.

5. May 3, 2014

SteamKing

Staff Emeritus
It's not clear why the OP got the wrong answer as he posted no calculations. We don't know if he was using I about the origin, the c.o.m., or what.

In this case, Brevity is the enemy of Clarity, those two Irishmen who are eternal rivals.

6. May 4, 2014

haruspex

Sure, but I read your post as saying that the Icm had to be found first before applying the formula. I'm just pointing out that in the present case it will be the other way about: the M of I can be found easily about a certain point that is not the centre of mass, then the formula can be used to find the Icm.