Q-1 In Compound gear trains one must first identify gears that have a moving axis of rotation. These gears are the planet gears. Next, we must identify the links that are connected to the planet by a revolute joint. This link is the arm of the planet considered. Then for each arm found, the planetary gear relation must be written. Consider the gear train given below. Link-1 is the fixed link. Link-3 does not have a fixed axis of rotation. Therefore it is a planet. Link-2 is connected to link-3 by a revolute joint. Therefore link-2 is the arm-a which carries gears A and B on link-3.

Link-3 carries two gears, one with N_{A} = 40-T and the
other with N_{B} = 42-T. Link-4 carries two gears, one with
N_{C} = 38-T and the other with N_{D} = 12-T.
Link-5 carries both a sun gear-E with N_{E} = 36-T and a
ring gear-F with N_{F} = 120-T. Link-6 carries gear-G with
N_{G} =54-T.

- Draw a connectivity diagram (i.e., the kinematic graph
representation of the mechanism and determine the mobility,
*M = - λ.L*. [15 pts.]_{ind}+ Σf_{i} - Write the gear train relations R
_{45}, R_{46}and R_{56}and determine the output speed, n_{6}, and its direction of rotation when the input speed, n_{2}= n_{a}is 3000 rpm (c.w.). [20 pts.]

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