Review question

# If a disc is missing two smaller discs, where’s its centre of gravity? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6670

## Question

$AB$ and $CD$ are two perpendicular diameters of a uniform circular metal disc of radius $\quantity{12}{in.}$ and centre $O$. Two circular holes of radii $\quantity{4}{in.}$ and $\quantity{2}{in.}$ are cut out of the disc, their centres being $\quantity{6}{in.}$ from $O$ along $OA$ and $\quantity{10}{in.}$ from $O$ along $OC$ respectively. Find

1. the distances of the centre of gravity, $G$, of the remaining portion of the disc from the diameters $CD$ and $AB$;
2. the angle that $OA$ will make with the vertical if this remaining portion is hung on a smooth pivot at $O$.