Chapter: Single Degree of Freedom System- Free Vibration
1.

Which type of vibrations are also known as transient vibrations?

A. Undamped vibrations
B. Damped vibrations
C. Torsional vibrations
D. Transverse vibrations
Answer» B. Damped vibrations
2.

During transverse vibrations, shaft is subjected to which type of stresses?

A. Tensile stresses
B. Torsional shear stress
C. Bending stresses
D. All of the above
Answer» C. Bending stresses
3.

What are deterministic vibrations?

A. Vibrations caused due to known exciting force
B. Vibrations caused due to unknown exciting force
C. Vibrations which are aperiodic in nature
D. None of the above
Answer» A. Vibrations caused due to known exciting force
4.

Which of the following vibrations are classified according to magnitude of actuating force?

A. Torsional vibrations
B. Deterministic vibrations
C. Transverse vibrations
D. All of the above
Answer» B. Deterministic vibrations
5.

In which type of vibrations, amplitude of vibration goes on decreasing every cycle?

A. Damped vibrations
B. Undamped vibrations
C. Both a. and b.
D. None of the above
Answer» A. Damped vibrations
6.

The resonant frequency of a mass-spring system depends upon ________

A. stiffness
B. surface density
C. depth of air space
D. all of the above
Answer» D. all of the above
7.

Calculate equivalent stiffness of the spring for the system shown below, which has spring stiffness of 3000 N/m

A. 1000 N/m
B. 2250 N/m
C. 2000 N/m
D. None of the above
Answer» B. 2250 N/m
8.

Which of the following is incorrect regarding inertia force?

A. Imaginary force
B. Acts upon a rigid body
C. Brings the body to equilibrium
D. Same direction as of accelerating force
Answer» D. Same direction as of accelerating force
9.

D-Alembert’s principle is used for which of the following?

A. Change static problem into a dynamic problem
B. Change dynamic problem to static problem
C. To calculate moment of inertia of rigid bodies
D. To calculate angular momentum of a system of masses
Answer» B. Change dynamic problem to static problem
10.

Determine logarithmic decrement, if the amplitude of a vibrating body reduces to 1/6th in two cycles.

A. 0.223
B. 0.8958
C. 0.389
D. None of the above
Answer» B. 0.8958
11.

Calculate logarithmic decrement if damping factor is 0.33.

A. 1.36
B. 3.23
C. 5.16
D. 2.19
Answer» D. 2.19
12.

In damped free vibrations, which parameters indicate vibrations?

A. Natural frequency
B. Rate of decay of amplitude
C. Both a. and b.
D. None of the above
Answer» B. Rate of decay of amplitude
13.

What is meant by critical damping coefficient?

A. Frequency of damped free vibrations is less than zero
B. The motion is aperiodic in nature
C. Both a. and b.
D. None of the above
Answer» B. The motion is aperiodic in nature
14.

Which of the following relations is true for viscous damping?

A. Force α relative displacement
B. Force α relative velocity
C. Force α (1 / relative velocity)
D. None of the above
Answer» B. Force α relative velocity
15.

Which among the following is the value of static deflection (δ) for a fixed beam with central point load?

A. (Wl3) /(192 EI)
B. (Wl2) /(192 EI)
C. (Wl3) /(384 EI)
D. None of the above
Answer» A. (Wl3) /(192 EI)
16.

According to which method, maximum kinetic energy at mean position is equal to maximum potential energy at extreme position?

A. Energy method
B. Rayleigh's method
C. Equilibrium method
D. All of the above
Answer» B. Rayleigh's method
17.

The motion of a system executing harmonic motion with one natural frequency is known as _______

A. principal mode of vibration
B. natural mode of vibration
C. both a. and b.
D. none of the above
Answer» C. both a. and b.
18.

Fluid resistance causes damping which is known as ______

A. Resistance damping
B. Fluid damping
C. Viscous damping
D. Liquid damping
Answer» C. Viscous damping
19.

In which direction does the accelerating force acts?

A. Opposite to the motion
B. Along the motion
C. Perpendicular to motion
D. Variable
Answer» B. Along the motion
20.

The time interval after which the motion is repeated itself is known as ___________ .

A. Time period
B. Cycle
C. Frequency
D. Isolation
Answer» A. Time period
21.

Frequency of vibrations is usually expressed in

A. Number of cycles per hour
B. Number of cycles per minute
C. Number of cycles per second
D. None of these
Answer» C. Number of cycles per second
22.

The motion completed during one time period is known as _______.

A. Period of vibration
B. Cycle
C. Frequency
D. All of the above
Answer» B. Cycle
23.

Which of the following is a type of free vibration?

A. Longitudinal vibrations
B. Transverse vibrations
C. Torsional vibrations
D. A, B and C
Answer» D. A, B and C
24.

In a spring-mass system, which of the following force is not considered?

A. Spring force
B. Damping force
C. Accelerating force
D. A and B
Answer» B. Damping force
25.

The periodic time is given by _______.

A. ω / 2 π
B. 2 π / ω
C. 2 π × ω
D. π/ω
Answer» B. 2 π / ω
26.

The velocity of a particle moving with simple harmonic motion is _______ at the mean position.

A. Zero
B. Minimum
C. Maximum
D. None of the mentioned
Answer» C. Maximum
27.

The maximum acceleration of a particle moving with simple harmonic motion is ____.

A. ω
B. ω.r
C. ω / 2 π
D. 2 π / ω
Answer» B. ω.r
28.

At the mean position, the potential energy of the system is _______.

A. Zero
B. Minimum
C. Maximum
D. None of the mentioned
Answer» A. Zero
29.

In a spring-mass-damper system, which of the following force is considered?

A. Spring force
B. Damping force
C. Accelerating force
D. All of the above
Answer» D. All of the above
30.

Frequency is equal to ______.

A. Time period
B. 1/time period
C. ω * time period
D. ω /time period
Answer» B. 1/time period
31.

When the body vibrates under the influence of external force, then the body is said to be under ___________ .

A. Free vibrations
B. Natural vibrations
C. Forced vibrations
D. Damped vibrations
Answer» C. Forced vibrations
32.

A vertical spring-mass system has a mass of 0.5 kg and an initial deflection of 0.2 cm. Find the spring stiffness.

A. 345 N/m
B. 245 N/m
C. 3452 N/m
D. 2452 N/m
Answer» D. 2452 N/m
33.

A system has a mass of 0.5 kg and spring stiffness of 2452 N/m. Find the natural frequency of the system.

A. 5.14 Hz
B. 9.14 Hz
C. 11.14 Hz
D. 28.14 Hz
Answer» C. 11.14 Hz
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