Engineering Questions with Answers - Multiple Choice Questions

# Machine Dynamics MCQ– Free Torsional Vibrations of a Three Rotor System

1 - Question

In the figure given below, the points N1 and N2 are known as_______ a) Nodes
b) Elastic points
c) Inelastic points
d) Breaking points

Explanation: The torsional vibrations occur in a three rotor system only if there are one node or two nodes, at points N1 and N2 there is no vibration hence they are known as nodes.

2 - Question

In a three rotor system, free torsional vibration cannot occur if there is only one node.
a) True
b) False

Explanation: In a three rotor system there may occur one or two nodes, free torsional vibration may occur in presence of either one or two nodes.

3 - Question

In which of the following condition torsional vibration will not take place, considering 3 rotors A, B and C. A is rotating in clockwise direction.
a) B in clockwise C in anticlockwise
b) C in clockwise B in anticlockwise
c) B and C in clockwise
d) B and C in anticlockwise

Explanation: For a three rotor system torsional vibration will occur only if two of the three rotors are rotating in the same direction and the third one is rotating in the opposite direction.

4 - Question

For occurrence of free torsional vibration in a three rotor system which of the condition is necessary?
a) Rotors moving in same direction
b) Rotors having same frequency
c) Rotors having different frequency
d) Rotors rotate in the same sense

Explanation: In a three rotor torsional vibration system, the system will rotate if the two rotors are rotating in same direction and the third one with opposite direction all with the same frequency.

5 - Question

the given figure, considering left end has one rotor, If the mass moment of inertia of the shaft till node N1 is increased to four times, then what will be the effect on free torsional vibrations of a rotor at left end of N1? a) Increases 4 times
b) Increases 2 times
c) Decreases 4 times
d) Decreases 2 times

Explanation: If N1 is the node then left end and N1 can be considered as a shaft of single rotor system, since the free torsional vibrations of a single motor system depends on the inverse of square root of the mass moment of inertia of the system, increasing 4 times will lead to decrease in two times the initial vibration.

6 - Question

In the given figure if N1 is the node then N1Q acts as which of the following system? a) Single rotor system
b) Two rotor system
c) Three rotor system
d) Four rotor system

Explanation: If N1 is the node in the given figure, then N1 can act as a fixed end of the shaft N1N2 where the rotor is connected at Q and N1, hence it acts like a two rotor system.

7 - Question

Keeping the mass moment of inertia of left end and the right end shafts in a three rotor system same, if the length of one shaft is doubled what should be the effect on the length of other shaft?
a) Doubled
b) Halved
c) Constant
d) Increased to 4 times

Explanation: The vibration will occur in a two rotor system only if the frequencies of both the rotors are same, hence L(a)I(a) = L(c)I(c). Therefore the relation is directly proportional.

8 - Question

Free torsional vibrations will occur in a three rotor system only if all rotors have same frequency.
a) True
b) False

Explanation: In a three rotor system the free torsional vibration will occur only if all the rotors have the same frequency of vibration and two have common rotation sense.

9 - Question

What is the total number of nodes formed in a three rotor system if the rotors at one of the ends and the one in the middle rotate in the same direction?
a) 0
b) 1
c) 2
d) 3

Explanation: In a three rotor system, if the rotor at one of the ends and the one in the middle are rotating in the same direction, then there is formation of only one node.

10 - Question

For a three rotor system in the figure given below, the length of one shaft(P) is twice the other(Q), then what is the relation between the Mass moment of inertia of the shafts. a) 2I(P) = I(Q)
b) I(P) = 2I(Q)
c) I(P) = I(Q)
d) 2I(P) = 3I(Q)

Explanation: For a two rotor system, we have L(P)I(P) = L(Q)I(Q)
Now L(P)=2L(Q)
Therefore, 2I(P) = I(Q).

11 - Question

In a three rotor system, for the middle rotor, if the stiffness of both the length either side of the rotor is increased to two times what will be the effect on total stiffness of the middle rotor?
a) Remains constant
b) Decreases by two times
c) Increases by two times
d) Increases by 4 times