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Mechanical Vibration Part-3

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.

During torsional vibration of a shaft, the node is characterized by the

a)

maximum angular velocity

b)

maximum angular displacement

c)

maximum angular acceleration

d)

zero angular displacement

2.

In a multi-rotor system of torsional vibration maximum number of nodes that can occur is

a)

two

b)

equal to the number of rotor plus one

c)

equal to the number of rotors

d)

equal to the number of rotors minus one

3.

Rotating shafts tend of vibrate violently at whirling speeds because

a)

the shafts are rotating at very high speeds

b)

Bearing centre line coincides with the shaft axis

c)

The system is unbalanced

d)

Resonance is caused due to the heavy weight of the rotor

4.

A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotors separately, are 100 cycles/sec and 200 cycles/sec respectively. The lowest critical speed is

a)

5367 rpm

b)

6000 rpm

c)

9360 rpm

d)

12000rpm

5.

An automotive engine weighing 240 kg is supported on four springs with linear characteristics. Each of the front two springs have a stiffness of 16 MN/m while the stiffness of each rear spring is 32 MN/m. The engine speed (in rpm), at which resonance is likely to occur, is

a)

6040

b)

3020

c)

1424

d)

955

6.

A shaft of 50 mm diameter and 1 m length carries a disc which has mass eccentricity equal to 190 microns. The displacement of the shaft at a speed which is 90% of critical speed in microns is

a)

810

b)

900

c)

800

d)

820

7.

The rotor of a turbine is generally rotated at

a)

the critical speed

b)

a speed much below the critical speed

c)

a speed much above the critical speed

d)

a speed having no relation to critical speed

8.

The critical speed of a rotating shaft depends upon

a)

Mass

b)

stiffness

c)

mass and stiffness

d)

mass, stiffness and eccentricity

9.

A slender shaft supported on two bearings at its ends carries a disc with an eccentricity e from the axis of rotation. The critical speed of the shaft is N. If the disc is replaced by a second one of same weight but mounted with an eccentricity 2e, critical speed of the shaft in the second case is

a)

N2\frac{N}{2}

b)

N2\frac{N}{\sqrt{2}}

c)

NN

d)

2N2N

10.

The above figure shows two rotors connected by an elastic shaft undergoing torsional vibration. The rotor (1) has a mass of 2 kg and a diameter of 60 cm, while the rotor (2) has a mass of 1 kg and a diameter of 20 cm. what is the distance L from rotor (2) at which the node of torsional vibration occurs?

a)

36 cm

b)

30 cm

c)

22 cm

d)

18 cm