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Mechanical Engineering
Swarup Somanna

Can anyone help me solve this problem related to gear trains

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Im trying to solve this problem but just not getting it. Below is the problem.

Quote

An epicyclical gear train has a fixed annular wheel C concentric with sun wheel A. A planet wheel B gears with A and C and can rotate freely on a pin carried by an arm D which rotates about an axis coaxial with that of A and C. If TA and TC are the numbers of teeth on A and C respectively, prove that the ratio of the speeds(rpm) of D to A is equal to the ratio of TA to ( TA + TC)

Please see the image I've uploaded.

 

diag.png

sol.PNG

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