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Q4. (a) The tension in the tight side of belt, T newtons, passing round a sheave and in

contact with the sheave for an angle of θ radians are given by:

T = 42.3e^0.28θ

Determine the value of θ when T is 68.5N.

(b) Solve for x in the following equation:

16^0.25x² = 32^{x - 1.2} (6)

(c) Make t the subject of the following formula:

i = Ie - t/CR   (4)

5. Table Q5 indicates the deflection, d mm, of a beam under loads, W newtons. The deflection is related to the load by the formula W = kd^a where k and n are constants.