Question 676: Centre of Mass and Rotational Motion

Question

A thin rod of length L and mass M  is bent at its midpoint into two halves so that the angle between them is 90o. The moment of inertia of the bent rod about an axis passing  through  the bending point  and  perpendicular to the plane defined by the two halves of the rod is

Accepted Answer

Total mass = M, total length = L
Moment of inertia of OA about O = Moment of inertia of OB about O.
$$ \Rightarrow $$ M.I total = $$2 	imes \left( {{M \over 2}} ight){\left( {{L \over 2}} ight)^2}.{1 \over 3} = {{M{L^2}} \over {12}}$$

Answer

$${{M{L^2}} \over 6}$$

Answer

$${{\sqrt 2 M{L^2}} \over {24}}$$

Answer

$${{M{L^2}} \over {24}}$$

Answer

$${{M{L^2}} \over {12}}$$

Centre of Mass and Rotational Motion

A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90o. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is

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