Moderate -0.3 This is a straightforward toppling problem requiring only basic moment principles: the cylinder topples when the vertical line through its center of mass passes outside the base. The calculation involves simple geometry (tan α = radius/half-height = 6/10) with no complications from friction or sliding conditions. Slightly easier than average due to being a single-step problem with standard setup.
1 A uniform solid cylinder has height 20 cm and diameter 12 cm . It is placed with its axis vertical on a rough horizontal plane. The plane is slowly tilted until the cylinder topples when the angle of inclination is \(\alpha\). Find \(\alpha\).
1 A uniform solid cylinder has height 20 cm and diameter 12 cm . It is placed with its axis vertical on a rough horizontal plane. The plane is slowly tilted until the cylinder topples when the angle of inclination is $\alpha$. Find $\alpha$.
\hfill \mbox{\textit{OCR M2 2007 Q1 [3]}}