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Q3. (a) A particular white medal bearing for marine use is composed of, by mass, 89% tin, 7.5% antimony and the remainder is copper.

Determine the masses of antimony and copper required to combine with 200 kg of tin to make this white metal.   (6)

(b) The bending moment in Newton meters at a point in a beam is given by:

M = (5x(15 - x))/4

Where x meters is the distance from the point of support.

Evaluate x, correct to two decimal places, when the bending moment is 50 Nm.       (6)

(c) Solve the following equation for x:

(x + 3)/4 - 5x/6 + (2 - x)/8 = 7/24