Pearson Edexcel Level 3 GCE. Further Mathematics Advanced PAPER 4C: Further Mechanics 2. LATEST MARKING SCHEME.

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A letter P from a shop sign is modelled as a uniform plane lamina which consists of a rectangular lamina, OABDE, joined to a semicircular lamina, BCD, along its diameter BD. OA = ED = a, AB = 2a, O... E = 4a, and the diameter BD = 2a, as shown in Figure 1. Using the model, (a) find, in terms of π and a, the distance of the centre of mass of the letter P, from (i) OE (ii) OA (6) The letter P is freely suspended from O and hangs in equilibrium. The angle between OE and the downward vertical is α. Using the model, (b) find the exact value of tan α (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________*P66805A0332* Turn over 3 Question 1 continued [Show More]

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