+1 vote
in Machine Dynamics by (34.3k points)
If the rotation speed of the disc is increased to 2 times and the mass is reduced to half, overall the Couple acting on bearings will increase.

(a) True

(b) False

The question was posed to me in unit test.

This interesting question is from Effect of Gyroscopic Couple on a Disc Fixed Rigidly at a Certain Angle to a Rotating Shaft in division Gyroscopic Couple and Precessional Motion of Machine Dynamics

1 Answer

0 votes
by (38.6k points)
Right answer is (a) True

The best explanation: If the rotation speed of the disc is increased to 2 times and the mass is reduced to half, overall the Couple acting on bearings will increase as couple on bearing depends on the relation

mω^2r^2/8 sin2θ, hence it will increase by two times.

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