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Find the velocity ratio between (i) S1 and S2 when D is fixed. (ii) S1 and D when S2 is fixed.

In the epicyclic gear train shown in fig. 1 a gear C which has teeth cut internally and externally is free to rotate on an arm driven by the shaft S1. It meshes externally with the casing D and internally with the pinion B. The gears have following number of teeth: T = 24, T = 32 and Td= 48, Find the velocity ratio between (i) S1 and S2 when D is fixed. (ii) S1 and D when S2 is fixed. What will be the torque required t5o fix the casing D if a torque of 300Nm is applied to shaft S1? -

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Mumbai University > MECH > Sem 5 > Theory Of Machines 2

Marks: 12 M

Year: May 2015

1 Answer
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Operation Arm a Gear C Gear D Gear B
Rotation to c 0 1 Tc/Td Tc/Tb
Multiply by m 0 M -mTc/Td mTc/Tb
Add n N M+N -mTc/Td +N mTc/Tb +N

Assume N = 60rpm

Case 1) D fixed

mTc/Td + N = 0

m 32/48 + 60 = 0 …

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