Question

state perpendicular axis theorem and by using the theorem deduce the moment of inertia of the circular disc about an axis passing through the diameter​

Answer 1

Answer:

terboclosis is the better way

Answer 2

Answer:

According to perpendicular axis theorem, I

Z

=I

X

+I

Y

We know that I

X

=I

Y

due to the geometrical symmetry of

the disc, where I

X

and I

Y

are M.I. of the disc about an axis passing through its diameter.

⇒ I

Z

=I

X

+I

Y

⇒I

X

=I

Y

=

2

I

Z

Where, I

Z

=ML of the disc about Z−axis passing through

its centre perpendicular to its plane =mr

2

/2

∴M.I. about diameter =I

X

=I

Y

=

4

1

MR

2