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Mechanics
β’ Topic 1.Resultants and Components.
2.Coplaner Concurrent Forces.
3.Flexible Cords.
4.Fricition.
5.Maximum And Minimum Forces.
6.Centroids.
7.Moments Of inertia Of Area.
8.Plane Motion.
9.Force System That Produce Rectilinear Motion.
10.Work, Kinetic Energy, Power.
11.Impulse And Momentum.
Resultants And Components
Classification Of Force System
1.Coplanar force systems.
2.Non-coplanar force systems.
Also Classified:
1.Collinear force systems.
2.Concurrent force systems.
3.Non-concurrent force systems.
4.Parallel force systems.
Coplanar Concurrent Forces
1.Equilibrium.
2.Free Body Diagram.
3.Trusse.
Equilibrium
A body being acted upon by a system of forces is said to be in equilibrium if the body does not have tendency to rotate or to slide.
#If any body in equilibrium, the resultant force R=0. And its component also zero.
Fx =0
Fy =0
Free Body Diagram
A free body is a representation of an object, mainly a rigid body, which shows all the forces acting on it.
Truss
From this topic we learn,
1.Types of support.
2.Determining member force.
Types of support
Flexible Cords
Flexible Cords
Cables are structural elements that are assumed to be inextensible but flexible.
We get some equation,
1.Q=π€π₯2
2π¦=π€πΏ2
8π
2.tan π =π€π₯
π
3.s= L+π€2πΏ3
24π2β
π€4πΏ5
64π2
4.π πππ₯ = πΏ +8π2
3πΏβ
32π2
5πΏ3
Friction
Friction
Friction is a resistance force.
There are two kinds of friction. Such asβ¦β¦
1.Static friction.
2.Kinetic friction.
A surface which offers frictional resistance is said to be rough surface. And a frictionless surface is said to be smooth surface.
Maximum And Minimum
Centroids
Centroids
Centroids Of Common Shapes
Plane Motion
Plane Motion
We get some equation,
1.v= π’ + ππ‘
2.s=π’+π£
2
3.s= ut+ aπ‘2
4. π£2 = π’2 + 2ππ
5.v=ππ
ππ‘
6.a=ππ£
ππ‘=ππ 2
ππ‘
Force System That Produce Rectilinear Motion
Work, kinetic Energy, Power
We get some equation,
1.U= πΉππ
2.ππππ‘ = π»πΎπΈ = πΎπΈ2 βKπΈ1
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