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Q1. (a) Define EACH of the following terms:

(i) Stable equilibrium. (2)

(ii) unstable equilibrium. (2)

(iii) Neutral equilibrium. (2)

(b) A solid aluminium hemisphere 250 mm diameter rests its curved surface on a rough plane inclined at an angle of 15^o to the horizontal. Calculate the force F needed on the edge of the hemisphere, as shown in Fig Q1, to maintain the axis of the hemisphere in the vertical position. (10)

Note:

The density of Aluminum=2800 kg/m³

 The volume of the sphere can be calculated from (4πr²)/3.