Question

three identical rods each of length L
and mass m
are joined to form a
U shape as shown in figure the
distance of centre of mass of the combined system
from the corner
O is​

Answer 1

Answer:

The three rods form H, So let H=I

1

(AB)+I

2

(EF)+I

3

(CD)

Here we will find about left vertical axis i.e. I

1

AB

Moment of inertia of rod AB about the axis is 0

Moment of inertia of rod CD(parallel axis theorem) about the axis is ML

2

Moment of inertia of rod EF (perpendicualr axis theorem) about the axis is

3

1

ML

2

So, Moment of inertia of the rod about the axis is

=0+ML

2

+

3

1

ML

2

=

3

4

ML

2