a full biodata of mechanics

Mechanics

• 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=𝑤𝑥2

2𝑦=𝑤𝐿2

8𝑑

2.tan 𝜃 =𝑤𝑥

𝑄

3.s= L+𝑤2𝐿3

24𝑄2−

𝑤4𝐿5

64𝑄2

4.𝑠𝑚𝑎𝑥 = 𝐿 +8𝑑2

3𝐿−

32𝑑2

5𝐿3

Friction

Friction

Friction is a resistance force.

There are two kinds of friction. Such as……

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= 𝑢 + 𝑎𝑡

2.s=𝑢+𝑣

2

3.s= ut+ a𝑡2

4. 𝑣2 = 𝑢2 + 2𝑎𝑠

5.v=𝑑𝑠

𝑑𝑡

6.a=𝑑𝑣

𝑑𝑡=𝑑𝑠2

𝑑𝑡

Force System That Produce Rectilinear Motion

Work, kinetic Energy, Power

We get some equation,

1.U= 𝐹𝑑𝑠

2.𝑈𝑛𝑒𝑡 = 𝛻𝐾𝐸 = 𝐾𝐸2 −K𝐸1

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