(Solved): HELP ASAP PLEASE! The table below gives tooth counts for the gear train shown in the figure. An inp ...

The table below gives tooth counts for the gear train shown in the figure. An input shaft connects to gear 2 and an output shaft to gear 6. All gears are standard involute spur gears with a diametral pitch of \( 6 \mathrm{in}^{-1} \) and a pressure angle of \( \phi=25^{\circ} \). (a) Find the center-to-center distance between gear 2 and gear 6. Do not look for a canned equation-reason from the figure and the data! (b) Suppose input gear 2 revolves clockwise at \( 1200 \mathrm{rpm} \) and delivers a power of \( 1.5 \mathrm{HP} \). Find the torque on shaft 2. (c) Draw a free-body diagram of gear 2 . Find the force between gears 2 and 3. (d) Draw a free-body diagram of gear 3 . Note: gear 3 is an idler. There is no shaft to add or remove torque! (e) Study the assembly, gears 4 and 5 . Is the force between gears 3 and 4 the same as that between 5 and 6 ? No? Find both of those forces. (f) Find the speed of output gear 6 . (g) Check all meshes to determine if inteference