Question

9.41 how can i know w3=wf ,w1=warm

why not w1=wf (same axis?)

please explain in detail.

9-41 Figure P9-8 (p. 534) shows an 600 rpm CW and gear D is fixed to ground. Find speed and direction of gears l and 3. epicyclic train with its tooth numbers. Gear 2 is driven at t9-42 Figure P9-9 (p. 535) shows a compound epicyclic train Shaft 1 is driven at 300 mm 120 72 30 A 24 ARM SHAFT 3 2 dix F 100 re suited athcad r equa FIGURE P9-8 Problem 9-41 From P. H. Hill and W. P. Rule. (1960), Mechanisms: Analysis and Design, with permission PROBLEM 9-41 Statement: Figure P9-8 shows a compound epicyclic train. Gear 2 is driven at 800 rpm CCW and gear D is fixed to ground. The tooth numbers are indicated in the figure. Determine the speed and direction of gears 1 and 3. -1 rpm2--rad-min Units: Given: Tooth numbers: N 100 Ng 30 Np 60 Ng 120 Nc 72 NA24 Gear 2 speed e 800-rpm CCw Solution: See Figure P9-8 and Mathead file P0941. . Detemine the speed of the arm using the formula method for analyzing an epicyclic train. To start, choose a first and last gear that mesh with gears that have planetary motion. Let the first gear be A and last be D. Then, using equation 9.13c, write the relationship among the first, last, and arm Op-arm R arm arm rm Calculate R using equation 9.14 and inspection of Figure P9-8. NA (Nc R= R-0.96000 Np. Na Solve the right-hand equation above for owith e0. R arm391.84 rpm R-1 The arm drives gear 1, so 391.8rpm arm 2. Detemine the speed of gear F using the formula method for analyzing an epicyclic train. To start, choose a first and last gear that mesh with gears that have planetary motion. Let the first gear be A and last be F. Then, using equation 9.13c, write the relationship among the first, last, and arm earm =R earm -rm Calculate R using equation 9.14 and inspection of Figure P9-1 NA R R-0.96000 Solve the right-hand equation above for o, R(0)4-0urm) o783.673rpm +0arm Gear F drives gear 3, so 3= 783.7rpm c03

Answer 1

I think answer should be Wf = W1 and Warm = W3.

And we will know this by reading the figure.

In case of arm and gear 3 , arm is connected to gear 3 , we know this by the size of shaft connected to 3 is same as arm . And shaft connecting gear 1and F is same . We can say the by the size and also by the dashed line which starts from F and ends on gear 1.