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Properties of plane surfaces VIII - second moment and product of an area, solved examples
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Classroom Contents
Engineering Mechanics
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- 1 Introduction to Vectors
- 2 Addition and subtraction of vectors
- 3 Multiplying vectors
- 4 Introduction to vectors: solved examples I
- 5 Transformation of vectors under rotation
- 6 Vector products and their geometric interpretation
- 7 Vector Product: Kronecker Delta and Levi-Civita symbols-I
- 8 Vector Product: Kronecker Delta and Levi-Civita symbols-II
- 9 Introduction to vectors: solved examples II
- 10 Equilibrium of rigid bodies – Forces and torques
- 11 Calculating torques and couple moments - I
- 12 Calculating torques and couple moments - II
- 13 Finding a force and a couple equivalent to an applied force
- 14 Different elements and associated forces and torques - I
- 15 Different elements and associated forces and torques - II
- 16 Solved examples; equilibrium of bodies – I
- 17 Solved examples; equilibrium of bodies – II
- 18 Forces in different geometric configurations
- 19 Plane trusses I - Building a truss and condition for it to be statically determinate
- 20 Plane trusses II - Calculating forces in a simple truss and different types of trusses
- 21 Plane trusses III - Calculating forces in a simple truss by method of joints
- 22 Plane trusses IV - Solved examples for calculating forces in a simple truss by method of joints
- 23 Plane trusses V - Solved examples for calculating forces in a simple truss by method of joints
- 24 Plane trusses VI: Method of sections for calculating forces in a simple truss
- 25 Dry friction I - introduction with an example
- 26 Dry friction II - a solved example
- 27 Dry friction III - Dry thrust bearing and belt friction with demonstration
- 28 Dry friction IV - Screw friction and rolling friction
- 29 Dry friction V: Solved examples
- 30 Properties of plane surfaces I - First moment and centroid of an area
- 31 Properties of plane surfaces II - Centroid of an area made by joining several plane surfaces
- 32 Properties of plane surfaces III - Centroid of a distributed force and its relation with centre...
- 33 Properties of plane surfaces IV - solved examples of calculation of first moment and centroid...
- 34 Properties of plane surfaces V- Second moment and product of an area and radius of gyration
- 35 Properties of plane surfaces VI - Parallel axis transfer theorem for second moment and product of an
- 36 Properties of plane surfaces VII - transformation of second moment and product of an area under rota
- 37 Properties of plane surfaces VIII - second moment and product of an area, solved examples
- 38 Method of virtual work I - degrees of freedom, constraints and constraint forces
- 39 Method of virtual work II - virtual displacement, virtual work and equilibrium condition in terms of
- 40 Method of virtual work III - solved examples
- 41 Motion of a particle in a plane in terms of planar polar coordinates
- 42 Planar polar coordinates: solved examples
- 43 Description of motion in cylindrical and spherical coordinate systems
- 44 Using planar polar, cylindrical and spherical coordinate systems: solved examples
- 45 Motion with constraints, constraint forces and free body diagram
- 46 Motion with constraints – solved examples
- 47 Motion with dry friction – solved examples
- 48 Motion with drag – solved examples
- 49 Equation of motion in terms of linear momentum and the principle of conservation of linear momentum
- 50 Linear momentum and centre of mass
- 51 Momentum transfer, impulse and force due to a stream of particles hitting an object
- 52 Momentum and the variable mass problem
- 53 Linear momentum – solved examples
- 54 Work and energy I - work energy theorem; conservative and non-conservative force fields
- 55 Work and energy II - Definition of potential energy for conservative forces; total mechanical energy
- 56 Work and energy III - Two solved examples using conservation principles
- 57 Work and energy IV – Further discussion on potential energy
- 58 Work and energy V - Solved examples
- 59 Work and energy VI – Applying conservation principles to solve a collision problem
- 60 Work and energy VII - Solved examples
- 61 Rigid body motion I - degrees of freedom and number of variables required to describe motion of a ri
- 62 Rigid body motion II - Equation of motion for a single particle in terms of angular momentum and tor
- 63 Rigid body motion III - Conservation of angular momentum; angular momentum for a collection of parti
- 64 Rigid body motion IV - applying angular momentum conservation, a solved example
- 65 Rigid body motion V (fixed axis rotation) - some demonstrations of conservation of angular momentum
- 66 Rigid body motion VI (fixed axis rotation) - Some more demonstrations and related problems
- 67 Rigid body motion VII (fixed axis rotation) - Kinetic energy and moment of inertia for fixed axis ro
- 68 Rigid body motion VIII (fixed axis rotation) - solved examples for calculating moment of inertia and
- 69 Rigid body motion –IX (fixed axis rotation): solved examples
- 70 Rigid body motion X - rotation and translation with axis moving parallel to itself
- 71 Rigid body motion XI - solved examples for rotation and translation with axis moving parallel to its
- 72 Rigid-body dynamics XII - Some demonstrations on general motion of rigid bodies
- 73 Rigid-body dynamics XIII - Infinitesimal angles as vector quantities and change of a vector when rot
- 74 Rigid-body dynamics XIV - Angular velocity and the rate of change of a rotating vector; relating cha
- 75 Rigid-body dynamics XV - Relationship between angular momentum and angular velocity – the moment of
- 76 Rigid-body dynamics XVI: Solved examples
- 77 Rigid body motion XVII – A review of the relation between angular momentum and angular velocity, mom
- 78 Rigid body motion XVIII- Solved examples for calculating rate of change of angular momentum and torq
- 79 Rigid body dynamics XIX: understanding demonstrations shown earlier using equation of motion
- 80 Rigid body dynamics XX - understanding demonstrations shown earlier using equation of motion (Euler
- 81 Rigid body dynamics XXI - Euler equations, solved examples
- 82 Simple harmonic motion I - expanding potential energy about the equilibrium point and the correspond
- 83 Simple harmonic motion II : solving the equation of motion with given initial conditions
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