Welcome to MHF, Chipset3600!
I'm afraid your result is not correct.
A moment of inertia of any mass is never zero.
Which formula did you use to calculate it?
Please i did this exercice in a Math test and i want you guys to help me know if my result is correct...
Calculate the moment of inertia about the origin of a uniform plate of mass M and such that:
My result was "I=0"...
Erm... that is not the formula for moment of inertia I'm afraid... I'm not sure what it is...
What is M? And m? and F(x)?
The moment of inertia is given by:
where the integrals are taken over the relevant area of mass M, r is the distance to the origin, and dm is an infinitesimal amount of mass.
Do you know how to evaluate such an integral over the area given to you?
Hmm, I guess you have tried to define the boundaries of the area in question.
Let's start with the boundary given by:
This is an inequality that defines a circular disk of radius 1.
However, I do not see that in your drawing.
Or am I misunderstanding?