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Explain Klein's construction to determine velocity and acceleration of different links in single slider crank mechanism.

Question: 

Explain Klein's construction to determine velocity and acceleration of different links in single slider crank mechanism.

Answer: 

Let OC be the crank and PC the connecting rod of a reciprocating steam engine, as shown in Fig.
Let the crank makes an angle θ with the line of stroke PO and rotates with uniform angular
velocity ω rad/s in a clockwise direction. The Klien’s velocity and acceleration diagrams are
drawn as discussed below:

Klien’s velocity diagram
First of all, draw OM perpendicular to OP; such that it intersects the line PC produced at M. The
triangle OCM is known as Klien’s velocity diagram. In this triangle OCM, OM may be regarded
as a line perpendicular to PO, CM may be regarded as a line parallel to PC, and ...(_It is the same
line.) CO may be regarded as a line parallel to CO. The velocity diagram for given configuration
is a triangle ocp

 

marks:

ME-6I-22655-W19-Q2-a-4-U2