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Academics – Mathematics : 2010/DEC/06
Question

Q6. (a) A roller of diameter 25 mm is placed in a V block as shown in Fig Q6(a).

The distance from the top of the roller to the top of the V block is 4.64 mm.

Calculate the width W of the block. (10)

(b) Given: H(t) = 6 5sin[(π/6)t + π/2]

(i) State the maximum value of H(t); (1)

(ii) Calculate the first positive value of t when this occurs. (5)

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