A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 670 kg and an average gear-tooth force of 3.10 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting rollers. Assume r = 160 mm, R= 690 mm, 0 = 21° Detail of contact at B A B G

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A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 670 kg and an
average gear-tooth force of 3.10 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B,
calculate the average offset of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting
rollers.
Assume r = 160 mm, R = 690 mm, 0 = 21°
Detail of contact
at B
Answer: X =
B
mm
Transcribed Image Text:A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 670 kg and an average gear-tooth force of 3.10 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting rollers. Assume r = 160 mm, R = 690 mm, 0 = 21° Detail of contact at B Answer: X = B mm
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