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Engineering · Mechanical Engineering
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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.

NA 40-T, NB-42-T, Nc 38-T, ND- 12-T, NE-36-T, NF-120-T, 5 4 2 NG-54-T, and INPUT na-n2-3000 rpm (c.nJ 4 6 OUTPUT

Link-3 carries two gears, one with NA = 40-T and the other with NB = 42-T. Link-4 carries two gears, one with NC = 38-T and the other with ND = 12-T. Link-5 carries both a sun gear-E with NE = 36-T and a ring gear-F with NF = 120-T. Link-6 carries gear-G with NG =54-T.

  1. Draw a connectivity diagram (i.e., the kinematic graph representation of the mechanism and determine the mobility, M = - λ.Lind + Σfi.                                              [15 pts.]
  2. Write the gear train relations R45, R46 and R56 and determine the output speed, n6, and its direction of rotation when the input speed, n2 = na is 3000 rpm (c.w.).     [20 pts.]

Hint: (For Connectivity!) The kinematic graph will look like this, but the gear pairs must be drawn with two lines. Label the links by numbering them and show the type of connection between the links.

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