Overview

Static and dynamic systems are the heart of most engineering systems. Static systems range from bridges, load bearing, fasteners and bolts. Dynamic systems are also abundant in the form of machines, which convert electrical energy to mechanical energy. Developing an understanding of the equations governing these static and dynamic systems is at the heart of this course. During this course, theoretical tools that are available to analyse these systems will be discussed. The world around us is full of engineered systems, such as machines, automobiles, bridges and buildings. The objective of this course is to present the basic principles of statics and dynamics. The course will help develop proficiency in applying various principles to formulate and solve static and dynamic problems.

1 General principles. Force vectors 2 Equilibrium of a particle. Force system resultants 3 Equilibrium of a rigid body 4 Structural analysis 5 Internal forces 6 Friction. Centre of gravity of a rigid body 7 Moments of inertia of rigid bodies. 8 Kinematics of particles. Rectilinear motion. Curvilinear motion. 9 Kinematics of particles: Newton's second law of motion. 10 Motion of particles under central force. 11 Kinetics of particles: energy and momentum methods. 12 Work and energy. Impulse momentum. 13 Central impact. Oblique impact. Conservation of momentum. 14 Systems of particles. Impulse-momentum. 15 Kinematics of rigid bodies. Plane motion of rigid bodies: forces and accelerations. 16 Plane motion of rigid bodies: Energy and momentum methods.

Assessment Strategy

Three homework assigments and a final exam

-threshold -Equivalent to 40%.Uses key areas of theory or knowledge to meet the Learning Outcomes of the module. Is able to formulate an appropriate solution to accurately solve tasks and questions. Can identify individual aspects, but lacks an awareness of links between them and the wider contexts. Outputs can be understood, but lack structure and/or coherence.

-good -Equivalent to the range 60%-69%.Is able to analyse a task or problem to decide which aspects of theory and knowledge to apply. Solutions are of a workable quality, demonstrating understanding of underlying principles. Major themes can be linked appropriately but may not be able to extend this to individual aspects. Outputs are readily understood, with an appropriate structure but may lack sophistication.

-excellent -Equivalent to the range 70%+.Assemble critically evaluated, relevant areas of knowledge and theory to constuct professional-level solutions to tasks and questions presented. Is able to cross-link themes and aspects to draw considered conclusions. Presents outputs in a cohesive, accurate, and efficient manner.

Learning Outcomes

• Develop equilibrium relationships for non-accelerating particles acted on by forces.

• Develop equilibrium relationships for non-accelerating two or three dimensional rigid bodies.

• Estimate external loads and find the internal forces in frames, trusses, beams and other structures while evaluating their structural safety.

• Find the loads and accelerations for rigid bodies under planar motion.

• Identify the nature of the connections between bodies and create an idealized representation for it.

• Identify the need for additional empirical laws to complete the system of equations.

• Identify, isolate and idealize the system of interest for the application/process

• Obtain system information (position and velocity) at a given location or time knowing the system information at a different location or time.