A 3.6 m long shaft carries three pulleys, two at its two ends and third at the mid-point. The two end pulleys has mass of 79 kg and 40 kg and their centre of gravity are 3 mm and 5 mm respectively from the axis of the shaft. The middle pulley mass is 50 kg and its centre of gravity is 8 mm from the shaft axis. The pulleys are so keyed to the shaft that the assembly is in static balance. The shaft rotates at 300 r.p.m. in two bearings 2.4m apart with equal overhang on either side. Determine : 1 the relative angular positions of the pulleys and 2 dynamic reactions at the two bearings

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.74P: One end of cable AB is fixed, whereas the other end passes over a smooth pulley at B. If the mass of...
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8.
A 3.6 m long shaft carries three pulleys, two at its two ends and third at the mid-point. The two end
pulleys has mass of 79 kg and 40 kg and their centre of gravity are 3 mm and 5 mm respectively
from the axis of the shaft. The middle pulley mass is 50 kg and its centre of gravity is 8 mm from
the shaft axis. The pulleys are so keyed to the shaft that the assembly is in static balance. The shaft
rotates at 300 r.p.m. in two bearings 2.4m apart with equal overhang on either side. Determine :
1. the relative angular positions of the pulleys, and 2. dynamic reactions at the two bearings.
Transcribed Image Text:8. A 3.6 m long shaft carries three pulleys, two at its two ends and third at the mid-point. The two end pulleys has mass of 79 kg and 40 kg and their centre of gravity are 3 mm and 5 mm respectively from the axis of the shaft. The middle pulley mass is 50 kg and its centre of gravity is 8 mm from the shaft axis. The pulleys are so keyed to the shaft that the assembly is in static balance. The shaft rotates at 300 r.p.m. in two bearings 2.4m apart with equal overhang on either side. Determine : 1. the relative angular positions of the pulleys, and 2. dynamic reactions at the two bearings.
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