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Q4. a. The heat generated by a current in a wire varies directly with the time t, with the square of the voltage v and inversely with the resistance R.

When the voltage is 60 volts and the resistance is 45 ohms, the heat generated is 96 units per second.

Calculate the heat generated, in a similar wire. in 1 minute when the voltage is 50 volts and the resistance is 30 ohms. (8)

b. The bending moment, M, in Newton meters, at a point in a beam is given by

M = 2.5x(15 - x)/2 where x metres is the distance from the point of support. Calculate the values of x when the bending moment is 62. 5 Nm. (8)