The slider mechanism is used to increase the stroke of travel of one slider with respect to that of another. As shown, when the slider A is moving forward, the attached pinion F rolls on the fixed rack D, forcing slider C to move forward. This in turn causes the attached pinion G to roll on the fixed rack E, thereby moving slider B. If A has a velocity v_A at the instant shown, determine the velocity of B.

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Given: VA = 4- r = r ft Vc = 8 | S 0.2 ft ft S