Theory of Machines may be defined as that branch of Engineering-science, which deals with the study of relative motion between the various parts of a machine, and forces which act on them.
The study of machines or simple mechanisms , and the analysis of these parts connected together with links and pivots and levers is the theory of it.
We could say that the geometrical analysis which includes the locating of the centre of gravity of the whole mechanism is what it is. It's is also the study of the effects of forces or loads or and torque on these objects through bending moment and force diagrams .
The subject Mechanics of Machines may be defined as that branch of Engineering science which deals with the study of relative motion between the various parts of a machine and forces which act on these parts due to constrained motion. The study of relative motion alone is referred to as Kinematics while that of forces acting on these parts is called dynamics.
Velocity: This is defined as the rate of change of displacement linear and angular of a body with respect to the time. Velocity is a vector quantity, to specify it completely the magnitude, direction and sense must be known. Acceleration: The acceleration of a body is the rate of change of its velocity linear or angular with respect to time. A body accelerates if there is a change in either the magnitude, direction or sense of its velocity and can thus accelerates without change in speed, as in the case of a body moving in a circular path with uniform speed.
Displacement: Displacement is defined as the distance moved by a body with respect to a certain fixed point. The displacement may be along a straight or a curved path. Equations of Uniformly accelerated Motion.
Let a body having linear motion accelerates uniformly from an initial velocity u to a final velocity v in time t; let the acceleration be a and the distance from the initial position be s. Then V= u + at
S = ut + at2 ,
V2 = u2 + 2as
The corresponding equations for angular motion are:
ὠ =ꭃ + at
ꝋ = ꭃ t + ½ a t 2 ,
then its angular velocity, ὠ = 2πN/60 rad/ s.