+1 vote
in Machine Dynamics by (34.3k points)
If the mass of the constraint is negligible and a mass is attached at the end of the rod having following values: Ic = 500 Kg-m^2 and ω= 10 rad/s, then calculate the kinetic of the constraint system.

(a) 8333 J

(b) 7363 J

(c) 4578 J

(d) 9333 J

The question was posed to me in an international level competition.

The origin of the question is Effect of Inertia of the Constraint on Torsional Vibrations topic in portion Torsional Vibrations of Machine Dynamics

1 Answer

0 votes
by (38.6k points)
Right choice is (a) 8333 J

The best explanation: The kinetic energy of the constraint system in the absence of mass of constrant is given by the equation:

K.E = 1/6 Icω^2

substituting the value we get

K.E = 8333J.

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