Question 374: Centre of Mass and Rotational Motion

Question

The moment of inertia of a uniform semicircular disc of mass $$M$$ and radius $$r$$ about a line perpendicular to the plane of the disc through the center is

Accepted Answer

Let mass of the semi circular disc = M
Now assume a disc which is combination of two semi circular parts. Let $$I$$ be the moment  of inertia of the uniform semicircular disc. So $$2I$$ will be the moment of inertia of the full circular disc and 2M will be the mass.
$$ \Rightarrow 2I = {{2M{r^2}} \over 2}$$
$$ \Rightarrow I = {{M{r^2}} \over 2}$$

Answer

$${2 \over 5}M{r^2}$$

Answer

$${1 \over 4}Mr$$

Answer

$${1 \over 2}M{r^2}$$

Answer

$$M{r^2}$$

Centre of Mass and Rotational Motion

The moment of inertia of a uniform semicircular disc of mass $M and radius r$ about a line perpendicular to the plane of the disc through the center is

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