(i)[3]
Show that the distance from the centre of mass of the sphere to the centre of the sphere is $0.005\,\text{m}$.
(ii)[3]
Calculate the value of $F$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A uniform hemispherical shell of weight $8\,\text{N}$ and a uniform solid hemisphere of weight $12\,\text{N}$ are joined at their circumferences to make a non-uniform sphere of radius $0.2\,\text{m}$. The sphere is resting on a horizontal surface, with its axis of symmetry horizontal. It is kept in equilibrium by a force of magnitude $F\,\text{N}$ acting parallel to the axis of symmetry and applied at the highest point of the sphere.