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UNIT-1INTRODUCTION TO KINEMATICS OF PLANE MOTION
MECHANISM
A mechanism is a combination of rigid or restraining bodies so shaped and connected that they move upon each other with a definite relative motion. A simple example of this is the slider crank mechanism used in an internal combustion or reciprocating air compressor.
MACHINE
A machine is a mechanism or a collection of mechanisms which transmits force from the source of power to the resistance to be overcome,and thus perform a mechanical work.
PLANAR SPHERICAL & SPATIAL MECHANISMS
UNIT-1BOBILLIER’S CONSTRUCTION
Consider two separate rays, 1 and 2 (Fig.), with a pair of distinct conjugate pointson each,A1, C1, and A2, C2. Let QA1A2be the intersection of A1A2andC1C2. Then theline through PQA1A2is called the “collineationaxis,” unique for the pair of rays 1 and 2,regardless of the choice of conjugate point pairs on these rays. Bobillier’s theorem statesthat the angle between the common tangent of the centrodes and one ray is equal to the anglebetween the other ray and the collineation axis, both angles being described in the samesense.The collineation axis is parallel to the line joining the inflection points on the two rays.Bobillier’s construction for determining the curvature of point-path trajectories is illustrated in Fig..