Paper 5 May/June 2010 MATHEMATICS (9709/53) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

A uniform solid cylinder has radius $0.7{\text{ }}m$ and height $h{\text{ }}m$. A uniform solid cone has base radius $0.7{\text{ }}m$ and height $2.4{\text{ }}m$. The cylinder and the cone both rest in equilibrium each with a circular face in contact with a horizontal plane. The plane is now tilted so that its inclination to the horizontal, ${\theta ^ \circ }$, is increased gradually until the cone is about to topple.
a) Find the value of $\theta $ at which the cone…