The compound gear train presented in the figure below undergoes a rotation of 400 RPM and a torque of 125 lb-ft counterclockwise at gear 5. (a) Conceptual Questions: How many stages make up this gear train? In order for two gears to mesh properly, which two gear parameters must be identical in both gears? (5 PTS) (b) Determine the angular velocities (magnitude and direction) of all gears in the gear train. (10 PTS) (c) Determine the overall gear ratio, mG, between input (gear 1) and the output (gear 7). (10 PTS) (d) Determine the output torque (magnitude and direction) at gear 7. (5 PTS) (e) Suppose gear 6 is removed from the gear train and replaced with a new gear with 100 teeth. Assuming the rest of the gear train remains unchanged, how will this modification change the results obtained in sections (c) and (d)? Justify your response for full credit. (5 PTS) 2 3 N, 22 60 N3 24 N. 54 Ns Ng N7 26 42 64