An equilateral triangle ABC is cut from a thin solid sheet of wood. (see figure) D, E and F are the mid points. of its sides as shown and G is the centre of the triangle. The moment of inertia of the triangle about an axis passing through G and perpendicular B to the plane of the triangle is I. If the smaller triangle DEF is removed from ABC, the moment of inertia of the remaining figure about the same axis is I. Then (a) l' = ²²-1, (b) I' = I' 15 16 I。 (c) I' = Io 4 D F 9 (d) I' = —_-1₂ 16
An equilateral triangle ABC is cut from a thin solid sheet of wood. (see figure) D, E and F are the mid points. of its sides as shown and G is the centre of the triangle. The moment of inertia of the triangle about an axis passing through G and perpendicular B to the plane of the triangle is I. If the smaller triangle DEF is removed from ABC, the moment of inertia of the remaining figure about the same axis is I. Then (a) l' = ²²-1, (b) I' = I' 15 16 I。 (c) I' = Io 4 D F 9 (d) I' = —_-1₂ 16
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Transcribed Image Text:An equilateral triangle ABC is cut
from a thin solid sheet of wood. (see
figure) D, E and F are the mid points
of its sides as shown and G is the
centre of the triangle. The moment of
inertia of the triangle about an axis
passing through G and perpendicular B
to the plane of the triangle is I. If the
smaller triangle DEF is removed from ABC, the moment of
inertia of the remaining figure about the same axis is I.
Then
(a) l' = − 1, (b) I' =
I'
15
16
I。 (c) I' :
l'
10
4
G
F
E
9
(d) I' = — 1₂
16
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