Part 1) Gear design

For the planetary gear train shown in the figure below, the arm connected to gear 6 and the input motor rotates around the input axis. Gear 1 is fixed to the input axle. Gears 2 and 3, 4 and 5, 6 and 6, 7 and 8 are fixed together respectively. Gears 2 and 3, and 9 are fixed in space but allowed to rotate. If the tooth numbers are N₁ = 15, N₂ = 40, N₃ = 20, N₅ = 48, N₆ = 12, N₈ = 35, N₉ = 11.

Questions:

A. Recognize and point out what type each gear is and finish the teeth counting for all gears.

B. Determine the speed and direction of the output shaft if the input speed is 80 rpm CCW.

Part 2) Rotating Shafts

Determine the mass to be added on the rotors below in the plane A at the radius 65mm considering both the static and dynamic balances using the tabular method

Part 3) Belts and Pulleys

Two pulleys, one 320 mm diameter and the other 500 mm diameter, are on parallel shafts 2.05 m apart, and are connected by a cross-belt.

Determine:

a) The length of the belt required and the angle of contact between the belt and each pulley; and

b) What power can be transmitted by the belt when the larger pulley rotates at 500 r.p.m., if the maximum permissible tension in the belt is 1.5 kN, and the coefficient of friction between the belt and the pulley is 0.20?

Part 4) Clutches

A flywheel system (overrunning clutch) is depicted in the figure below.

Two coaxial shafts (A and B) are connected by a single-plate clutch of internal radius 45 mm and external radius 135 mm, with both sides of the plate being used. The coefficient of friction is assumed as 0.3. Assume the pressure is (a) uniform, and (b) inversely proportional to radius.

Determine what the required spring force is to enable the maximum power transmission of 5.5 kW at an angular speed of 900 revs/min?