Mr. Education

Work And Energy : If a force acts on a body and displaces it, then the body has some Work done . The capability of  a body to do work is called Energy . Some important principles and topics related to work and energy are described ahead. Principle Of Work & Energy: Work and energy theorem as in particle kinetics is given by The principle of work and energy depends on whether the body is translating, rotating and general planar motion. There are three conditions which are: If body is Translating   →  Kinetic energy equals to Translational Kinetic energy ( T =  ½ mv 2  ). If body is Rotating   →  Kinetic energy equals to Rotational Kinetic energy ( T =  ½ Iω 2  ). If body is in General Plane Motion   →  Kinetic energy is equal to the sum of Translational and Rotational kinetic energies ( T =  ½ mv 2  +  ½ Iω 2  ). Work Of A Variable Force: If the force for work done is variable d...

Mass Moment Of Inertia : The applied non-concurrent force system can cause the body to translate and rotate. The resistance of a body to angular acceleration is called Mass Moment of Inertia or simply Moment of Inertia ( M = Iɑ ). Mass moment of Inertia (MOI) is the integral of 2nd moment about any axis of all the element of mass 'dm'. For e.g: flywheel of engine. If the density of the body is not homogeneous, then you should use the following formula Parallel Axis Theorem:  If the moment of inertia passing through its own axis, then moment of inertia about any parallel axis is given by using Parallel Axis Theorem. Moment of inertia can be reported about a specified axis as radius of gyration. And, the moment of inertia for different shapes but most important of these are disk and rod. If composite body is given and moment of inertia is required, then you calculate MOI as: Planar Kinetic Equations Of Motion: There are two type...