2. Engineering Mechanics
Mechanics is the branch of science which deals with
the state of rest or motion of particles and bodies
under the action of forces
3. Idealizations In Mechanics
Particle: It is an idealized body which may have
negligible mass and whose size ad shape can be
neglected.
Rigid body: A body is said to be rigid if the relative
distance between the particles of the body remain
same before and after appliction of force
4. Deformable body: a body is said to be deformable if its
size and shape changes under application of external
forces.
Continuum: It is defined as an idealized body whose
matter is assumed to be totally continuous
,homogenous and non-porous.
5. Newton's first law: Every body continues the state of
rest or uniform motion unless its compelled to change
that by external force
6. Newton’s second law of motion: the acceleration of
body is proportional to the impressed force and takes
place in the direction in which the force acts
7. Newton’s third law of motion: For every action there is
always an equal and opposite reaction
8. Coplanar and Concurrent forces
Force: An agent which produces or tends to produce,
destroy or tends to destroy motion of a body is called
force.
9. Parallelogram Law Of Forces: If two, forces
simultaneously on a particle be represented in
magnitude and direction by the two adjacent sides of a
parallelogram; their resultant may be represented in
magnitude and direction by the diagonal of the
parallelogram which passes through their point of
interaction.
10.
11. Principle Of Superposition Of
forces
If two equal , opposite and collinear forces are added
to or removed from the system of forces ,there will be
no change in the position of the body .this is known as
principle of superposition of forces.
12. Triangle law of forces
If two forces acting at a point be represented in
magnitude and direction by two sides of triangle taken
in order , their resultant may be represented in
magnitude and direction by the third side of triangle,
taken in opposite order.
13. Principle of resolution
It is often convenient to
split a force in two
perpendicular
components
Consider a force f being
split into to components
fx and fy
Therefore fx=fcosѲ
fy=fsinѲ
14. Polygon Law of Forces
If a number of forces acting at a point be represented
in magnitude and direction by the sides of a polygon
taken in order ,then the resultant of all those forces
may be represented in magnitude and direction by the
closing side of the polygon taken in order
16. Lami’s Theorem
If three coplanar forces acting at a point be in
equilibrium , then each force is proportion to the sine
of angle between the other two