This equation is used to complete the bolt displacement curve and gives the result shown in fig. 1- 27. The ordinalcs of the displacement curve are then multiplied by K and increased by Fo to obtain a curve showing the variation of the spring force with time (fig. 1-28). Integrating under this curve and dividing the results bv Mr in accordance with equation 1 15 will give a graph of the velocity loss due to the spring force. Subtracting this curvc from the free bolt velocity curve will give the complete graph for the retarded bolt velocity, which is also shown in fig. 1-27. Fig. 1-29 shows the velocity versus displacement curvc for the gun of the example as derived from the curves of fig. 1-27.
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