Mathematical Modelling; Modelling Cycle
Consider the following situation: {see attachment} Develop a mathematical model which describes the contractors profit from the days work [a very simple model will do]. Then show how, using the modelling cycle, this model might be revised into a sequence of successively more sophisticated mathematical models, which show how the ...continues
Modelling : Elevator / Lift Usage
A large corporation with offices filling a 40 storey building is concerned to minimize the waiting and travel times of its employees when using the lifts, which are regularly perceived as too long at certain times of the day. It is powerless to alter the number of lifts in service; instead it seeks to model the pattern of the us ...continues
Please work on question A1 from this practice exam. A thin layer of water thickness d=0.5cm is heated from below. The bottom of the layer is held at temperature... Please see attached.
Please work on A2 from the attached exam practice paper. A2. The population of birds on an island is described by the following model... Please see attached for full question.
Consider an infinite layer of fluid held between two planes z=0 and z=δ such that the temperature of the bottom boundary is... Please see attached for full question.
Modelling the volume of a container/differentiation.
Question 1 A bucket-shaped container has a circular base of radius 10 cm, and its slant height is 30 cm. the radius of the open circular top of the container is 10x cm. the curved surface of the container is modeled by part of a cone, as shown below. Please see attached.
Damping and Resonance Problem : Forces and Displacement
A seismograph is a scientific instrument that is used to detect earthquakes. A simple model of a seismograph is shown below. It consists of a particle of mass m to which a pointer is attached. The particle is suspended by a spring of natural length lo and stiffness k and a damper of damping constant r from a platform of height d ...continues
I need a worked solution for these questions (also attached on the LAST PAGE of the attachement. The first couple pages are just examples. Thanks) The structure shown in Figure TA 1 is a pin-jointed section of a canopy and carries a single load of 4 kN acting at the lower right-hand joint. [DIAGRAM] Pin-jointed canopy De ...continues
Please help with this damping and resonance problem. Thank you
Please see the attached file the Modelling and Simulation
