Paper 4 October/November 2001 MATHEMATICH (8709/4) IGCSE
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

$ABCDE$ is the cross-section through the centre of mass of a uniform prism resting in equilibrium with $DE$ on a horizontal surface. The cross-section has the shape of a square $OBCD$ with sides of length $\alpha {\text{ m}}$, from which a quadrant $OAE$ of a circle of radius $1{\text{ m}}$ has been removed (see diagram).
a) Find the distance of the centre of mass of the prism from $O$, giving the answer in terms of $\alpha $, $\pi $ and $\surd 2$.
b)…