Stage 3: position of pivot point p for rotating boom in this stage, your task will be to extend the kinematics of point p to include rotation of the boom. when the boom rotates through angle θ, the position vector developed in task 2 can be expressed in term of the cylindrical coordinates(r, θ) for the fixed (x, y) coordinate system where:

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.