Subject:- dynamic of machinery (dom)
University: Mumbai University.
File Size:- 1.2 mb.
Format type:- PDF format.
Author: Rehan
Type:- notes
Sem:- 5th semester
2.1 Static and Dynamic force analysis, in slider crank mechanism (neglecting mass of connecting
rod and crank), Engine force analysis, Turning moment on crank shaft 2.2 Dynamically
equivalent systems, to convert rigid body in to two mass with and without correction couple
2.1 STATIC AND DYNAMIC FORCE ANALYSIS
INTRODUCTION
The inertia force is an imaginary force, which when acts upon a rigid body, brings it in an
equilibrium position. It
is numerically equal to the accelerating force in magnitude, but opposite in direction.
Mathematically,
Inertia force = – Accelerating force = – m.a
where m = Mass of the body, and
a = Linear acceleration of the centre of gravity of the body.
Similarly, the inertia torque is an imaginary torque, which when applied upon the rigid body,
brings it in equilibrium
position. It is equal to the accelerating couple in magnitude but opposite in direction.
Static Equilibrium
A body is in static equilibrium if it remains in its state of rest or motion.
• If the body is at rest, it tends to remain at rest and if in motion, it tends to keep the motion.
• In static equilibrium,
– the vector sum of all the forces acting on the body is zero and
– the vector sum of all the moments about any arbitrary point is zero.
• Mathematically,
F=0 and T =0
In a planer system, forces can be described by two-dimensional
vectors and therefore
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