Q5/ Three masses of magnitudes 10 kg. 7 kg and 12 kg are attached rigidly to the shaft. The masses are rotating in the s
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Q5/ Three masses of magnitudes 10 kg. 7 kg and 12 kg are attached rigidly to the shaft. The masses are rotating in the s
Ex2/ Three masses are attached to a shaft as follows: 10 kg at 90 mm radius, 15 kg at 120 mm radius and 9 kg at 150 mm radius. The masses to be arranged so that the shaft is in complete balance. Determine the angular position of masses relative to 10 kg mass. All the masses are in the same plane. Solution 9 (1) (2) Find out the mass moment for each mass mir 10*90 900 kg mm m₂r2 = 15*120= 1800 kg mm m3r3 9*150 1350 kg mm To draw mass moment diagram Scale 450 kg mm = 1 cm oa = 900/450=2 cm (at 0°) ab 1800/450=4 cm bo 1350/450-3 cm (a) from (o) draw (vector oa) to represent (m/r₁) (b) from (a) draw are with radius of 4 cm (vector ab) to represent (m₂r₂) (c) from (o) draw are with radius of 3 cm (vector bo) to represent (m3r3) (d) vectors ab and bo intersect at point b (e) join ab and bo 15 224⁰ 75⁰ 10 (Masses distribution). (f) from the diagram the angular position of masses can be determined By measurement Angle between 10 kg and 15 kg = 224° Anticlockwise Angle between 10 kg and 9 kg = 75° Anticlockwise b a (Mass moment diagram)