Vibration and Machine Dynamics, Assignment 1 - ENMEC4060 Solution

This document provides a detailed solution to the ENMEC4060 Vibration and Machine Dynamics assignment. The solution addresses multiple problems, starting with calculating the piston diameter in a viscous damper given the damping constant, fluid viscosity, and piston dimensions. The assignment then explores a model simulating a human head's response to a blow, calculating maximum acceleration and deflection. Further, the solution analyzes the moment of inertia for two and three-blade aircraft propellers using bifillar and trifiller suspension systems. The document also includes an analysis of a falling ball's energy dissipation due to air resistance, deriving an expression for velocity and energy loss. The solution concludes with problems related to the calculation of damping coefficients, analyzing the motion of a train brought to a stop by damping forces, and calculating the closing time of a door with a torsional spring and damper system. The document provides comprehensive step-by-step solutions for each problem.