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This question relates to the static and dynamic balance of an unbalanced shaft that is supported by bearings at its two ends, as shown in Figure Q4. The shaft rotates at 300 rev/min and the out-of-balance loads are given below. m1(kg) = 1.6 m2(kg) =2.4 m3 = 2 kg Z 4 X 43 0 Figure Q4 0₁ 0₂ 03 30° 120° 315° r1(m)= 0.7 r2(m)=0.5 r3(m)= 0.6 11(m)=1.4 12(m)= 2.0 13(m)=2.5 a) Using the data provided in Table Q4, take moments about the left-hand end of the shaft and so construct the mrl diagram for the system. Calculate the angular position and the mass of material needed to close the mrl diagram, if the mass is to be added at a point 1.7 m from the left-hand end of the shaft at a radius b) Construct the mr diagram the left-hand end of the shaft at a radius of 1 m to close the mr diagram and so balance the forces acting on the shaft.

This question relates to the static and dynamic balance of an unbalanced shaft that is supported by bearings at its two ends, as shown in Figure Q4. The shaft rotates at 300 rev/min and the out-of-balance loads are given below. m1(kg) = 1.6 m2(kg) =2.4 m3 = 2 kg Z 4 X 43 0 Figure Q4 0₁ 0₂ 03 30° 120° 315° r1(m)= 0.7 r2(m)=0.5 r3(m)= 0.6 11(m)=1.4 12(m)= 2.0 13(m)=2.5 a) Using the data provided in Table Q4, take moments about the left-hand end of the shaft and so construct the mrl diagram for the system. Calculate the angular position and the mass of material needed to close the mrl diagram, if the mass is to be added at a point 1.7 m from the left-hand end of the shaft at a radius b) Construct the mr diagram the left-hand end of the shaft at a radius of 1 m to close the mr diagram and so balance the forces acting on the shaft.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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4. This question relates to the static and dynamic balance of an unbalanced shaft that is supported by bearings at its two ends, as shown in Figure Q4. The shaft rotates at 300 rev/min and the out-of-balance loads are given below. m1(kg) = 1.6 m2(kg) =2.4 m3 = 2 kg Z O 4₁ X 13 Figure Q4 0₁ 02 03 30° 120° 315° r1(m)= 0.7 r2(m)=0.5 r3(m)= 0.6 11(m)=1.4 12(m)= 2.0 13(m)=2.5 a) Using the data provided in Table Q4, take moments about the left-hand end of the shaft and so construct the mrl diagram for the system. Calculate the angular position and the mass of material needed to close the mrl diagram, if the mass is to be added at a point 1.7 m from the left-hand end of the shaft at a radius of 1 m. b) Construct the mr diagram the left-hand end of the shaft at a radius of 1 m to close the mr diagram and so balance the forces acting on the shaft.
Transcribed Image Text:4. This question relates to the static and dynamic balance of an unbalanced shaft that is supported by bearings at its two ends, as shown in Figure Q4. The shaft rotates at 300 rev/min and the out-of-balance loads are given below. m1(kg) = 1.6 m2(kg) =2.4 m3 = 2 kg Z O 4₁ X 13 Figure Q4 0₁ 02 03 30° 120° 315° r1(m)= 0.7 r2(m)=0.5 r3(m)= 0.6 11(m)=1.4 12(m)= 2.0 13(m)=2.5 a) Using the data provided in Table Q4, take moments about the left-hand end of the shaft and so construct the mrl diagram for the system. Calculate the angular position and the mass of material needed to close the mrl diagram, if the mass is to be added at a point 1.7 m from the left-hand end of the shaft at a radius of 1 m. b) Construct the mr diagram the left-hand end of the shaft at a radius of 1 m to close the mr diagram and so balance the forces acting on the shaft.
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