A rotating shaft is to carry four discs A, B, C and D whose masses are 15 kg, 25 kg, 20 kg and 18 kg respectively; they are to be spaced at intervals of 30 cm, 37.5 cm and 22.5 cm along the shaft. The centers of mass of A, B and C are at 3.6 cm, 1.2 cm and 1.8 cm respectively from their axis of rotation. a) The three discs A, B and C are first attached to the shaft, at the spacings specified above, with their centers of mass in positions which give static balance. Find the relative angular positions of their centers of mass. b) The disc D is then attached to the shaft in such a position as to nullify the out of balance couple, when the reference plane passes through A. Find the eccentricity of the centre of mass of D and its angular position relative to that of A.

Elements Of Electromagnetics
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Problem No. 6
A rotating shaft is to carry four discs A, B, C and D whose masses are 15 kg, 25 kg, 20 kg and 18
kg respectively; they are to be spaced at intervals of 30 cm, 37.5 cm and 22.5 cm along the shaft.
The centers of mass of A, B and C are at 3.6 cm, 1.2 cm and 1.8 cm respectively from their axis
of rotation.
a) The three discs A, B and C are first attached to the shaft, at the spacings specified above,
with their centers of mass in positions which give static balance. Find the relative angular
positions of their centers of mass.
b) The disc D is then attached to the shaft in such a position as to nullify the out of balance
couple, when the reference plane passes through A. Find the eccentricity of the centre of
mass of D and its angular position relative to that of A.
Transcribed Image Text:Problem No. 6 A rotating shaft is to carry four discs A, B, C and D whose masses are 15 kg, 25 kg, 20 kg and 18 kg respectively; they are to be spaced at intervals of 30 cm, 37.5 cm and 22.5 cm along the shaft. The centers of mass of A, B and C are at 3.6 cm, 1.2 cm and 1.8 cm respectively from their axis of rotation. a) The three discs A, B and C are first attached to the shaft, at the spacings specified above, with their centers of mass in positions which give static balance. Find the relative angular positions of their centers of mass. b) The disc D is then attached to the shaft in such a position as to nullify the out of balance couple, when the reference plane passes through A. Find the eccentricity of the centre of mass of D and its angular position relative to that of A.
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