Loop-vector equation of a slider-crank mechanism

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In this video, we are going to establish the loop-vector equation of a slider crank mechanism.

A slider-crank mechanism is built from a ground, the crank A B, the slider C, and the connecting rod BC.

The mechanism uses three rotating pairs and one translating pairs. Thus, the mobility is equal to 1.

To determine the position of the mechanism we need to determine the angle of bars A B, and B C, and the linear position of the slider.

One variable should be given as mobility is equal to 1. and the position problem has two unknowns.

To establish the loop equation we will write the position of C relatively to A in two different ways.

First r C relatively to A is equal to A B plus B C but it is also equal to A D plus D C.

Thus the loop equation writes A B plus B C is equal to A D plus D C.




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