MIE100 Final 2020

This MIE100 Final 2020 Solution document covers a wide range of topics, from rigid body kinematics to vibration analysis. For students tackling these types of problems, here are some key tips: Question 1 - When dealing with connected systems and impacts, focus on conserving momentum and energy. Recognize that the total velocity includes both linear and rotational components. Question 2 - For mechanisms with multiple moving parts, carefully draw free-body diagrams and use the instantaneous center of zero velocity to simplify the analysis. Question 3 - For falling rigid bodies, set up the equations of motion using both force summations and moment summations about the appropriate point. Question 4 - Work-energy principles are crucial for rolling systems. Ensure you account for all forms of kinetic and potential energy. Question 5 - When analyzing impacts, be thorough in checking your assumptions about rolling versus slipping conditions. Don't forget to consider both linear and angular momentum. Question 6 - For vibration problems, remember that the natural frequency depends only on the stiffness and mass of the system. Question 7 - Damping can significantly affect the system response. Carefully identify whether the system is underdamped, overdamped, or critically damped. The key for all of these problems is to have a solid understanding of the fundamental principles of particle and rigid body dynamics, as well as vibration theory. Practicing a variety of problem types and drawing clear free-body diagrams are essential skills to develop.