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Mechanical Vibration Part-1

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

The natural frequency of a spring-mass system on earth is N .The natural frequency of this system on the moon is

a)

N

b)

0.408N

c)

0.204N

d)

0.167N

2.

If the length of the cantilever beam is halved, then natural frequency of the mass M at the end of this, cantilever beam of negligible mass is increased by a factor of

a)

2

b)

4

c)

8

d)

 8\sqrt{8}  

3.

A machine of 250 kg mass is supported on springs of total stiffness 100 kN/m. Machine has an unbalanced rotating force of 350 N at speed of 3600 rpm. Assuming a damping factor of 0.15, the value of transmissibility ratio is

a)

0.0531

b)

0.9922

c)

0.0162

d)

0.0028

4.

The natural frequency of an undamped vibrating system is 100 rad/s A damper with a damping factor of 0.8 is introduced into the system, The frequency of vibration of the damped system, rad/s, is

a)

60

b)

75

c)

80

d)

100

5.

In a spring-mass system, the mass is 0.1 kg and the stiffness of the spring is 1 kN/m. By introducing a damper, the frequency of oscillation is found to be 90% of the original value. What is the damping coefficient of the damper (Ns/m)

a)

1.2

b)

3.4

c)

8.7

d)

12

6.

A vibratory system consists of a mass 12.5 kg, a spring of stiffness 1000 N/m, and a dashpot with damping coefficient of 15 Ns/m.


The value of critical damping of the system is (Ns/m)

a)

0.223

b)

17.88

c)

71.4

d)

223.6

7.

A vibratory system consists of a mass 12.5 kg, a spring of stiffness 1000 N/m, and a dashpot with damping coefficient of 15 Ns/m.


The value of logarithmic decrement is

a)

1.35

b)

1.32

c)

0.68

d)

0.42

8.

The static deflection of a shaft under a flywheel is 4 mm. Take g = 10m/s2 . What is the critical speed in rad/s ?

a)

50

b)

20

c)

10

d)

5

9.

 d2xdt2+36x=0\frac{\text{d}^2x}{\text{d}t^2}+36\text{x=0}  is the equation of free vibrations of a system. Its natural frequency is (Rad/s)

a)

36

b)

6

c)

9

d)

0

10.

A motion is aperiodic at what value of the damping factor?

a)

1 or above

b)

0.5

c)

0.3

d)

0.866