This comprehensive yet compact step-by-step guide to solving real life mechanical engineering problems in dynamics offers all the necessary methodologies and supplemental information—in one place. It includes numerous solutions of examples of linear, non-linear, and two-degree-of-freedom systems. These solutions demonstrate in detail the process of the analytical investigations of actual mechanical engineering problems in dynamics. It is sure to be a very useful guide for students in Mechanical and Industrial Engineering, as well practitioners who need to analyze and solve a variety of problems in dynamics.  IntroductionDifferential Equations Of MotionAnalysis Of ForcesAnalysis of Resisting ForcesForces of InertiaDamping ForcesStiffness ForcesConstant Resisting ForcesFriction ForcesAnalysis of Active ForcesConstant Active ForcesSinusoidal Active ForcesActive Forces Depending on TimeActive Forces Depending on VelocityActive Forces Depending on DisplacementSolving Differential Equations of Motion Using Laplace TransformsLaplace Transform Pairs For Differential Equations of MotionDecomposition of Proper Rational FractionsExamples of Decomposition of FractionsExamples of Solving Differential Equations of MotionMotion by by Inertia with no ResistanceMotion by Inertia with Resistance of FrictionMotion by Inertia with Damping ResistanceFree VibrationsMotion Caused by ImpactMotion of a Damped System Subjected to a Tim Depending ForceForced Motion with Damping and StiffnessForced VibrationsAnalysis of Typical Mechanical Engineering SystemsLifting a LoadAccelerationBrakingWater Vessel DynamicsDynamics of an AutomobileAccelerationBrakingAcceleration of a Projectile in the BarrelReciprocation Cycle of a Spring-loaded Sliding LinkForward Stroke Due to a Constant ForceForward Stroke Due to Initial VelocityBackward StrokePneumatically Operated Soil Penetrating MachinePiece-Wise Linear ApproximationPenetrating into an Elasto-Plastic MediumFirst IntervalSecond IntervalThird IntervalFourth IntervalNon-linear Damping ResistanceFirst IntervalSecond IntervalDynamics of Two-Degree-of-Freedom SystemsDifferential Equations of Motion: A Two-Degree-of-Freedom SystemA System with a Hydraulic Link (Dashpot)A System with an Elastic Link (Spring)A System with a Combination of a Hydraulic Link (Dashpot) and an Elastic Link (Spring)Solutions of Differential Equations of Motion for Two-Degree-of-Freedom SystemsSolutions for a System with a Hydraulic LinkSolutions for a System with an Elastic LinkSolutions for a System with a Combination of a Hydraulic and an Elastic LinkA System with a Hydraulic Link where the First Mass Is Subjected to a Constant External ForceA Vibratory System Subjected to an External Sinusoidal Force