Moments of Inertia: Finding Center Point of Semicircle

[teng125]

can anyone tell me how to find moments of inertia for the centre point of a semicircle??

 

[TD]

Do you know the definition of a moment of inertia?

 

[vaishakh]

Let the mass of the semicircle be M and the radius be R.
Express the mass of a differentiable element dm in terms of d(theta).
Then in the actual process of finding centre of mass replace dm by d(theta) of integrting the X-cordinates and Y co-rdinates of the point on the semicircle in terms of theta and dividing the whole with M. I think you know this calculus based procedure to find cenre of mass for continuous objects as asked by TD

 

[Gokul43201]

can anyone tell me how to find moments of inertia for the centre point of a semicircle??

There is a very simple method, if you know the MoI of a circle, but to expect help in this forum you must show some effort on your part. Please read the rules for this forum (see my signature).