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WHAT IS LOCI? QUESTION ONE

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When designing a machine or a device that incorporates a mechanism, it is important that moving parts have clearance from other moving / stationary parts. This ensures that the movement of mechanisms is smooth, without the possibility of jamming.

A ‘locus’ is the path followed by a single point on a mechanism, as it moves. ‘Loci’ is the plural of locus and refers to the path of a number of points, as they move.

 
EXAMPLE OF A ‘LOCUS’
 
As fuel in the piston chamber ignites, the piston rod is pushed forward. In turn, the rod forces the crank wheel to rotate in an anti-clockwise direction. For each rotation, fuel is injected into the piston chamber and ignites. This is repeated, ensuring the wheel rotates continually.
Point ‘A’ has been marked on the piston arm. The path this point creates as it moves, is called the ‘locus’.
 
 
 
 
 
 
QUESTION
 
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(See the animation above): As fuel in the piston chamber ignites, the piston rod is pushed forward. In turn, the rod forces the crank wheel to rotate in an anti-clockwise direction. For each rotation, fuel is injected into the piston chamber and ignites. This is repeated, ensuring the crank wheel rotates continually. Point ‘A’ has been marked on the piston arm. The path this point creates as it moves, is called the ‘locus’. Draw the locus for point ‘A’, for one revolution of the fly wheel.
 
 
 
 
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