Question 1

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

Accepted Answer

The velocity of a particle in simple harmonic motion is maximum at the mean position because it's the point where all of the energy is kinetic, having transferred from potential energy at the extremities.

Question 2

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

Accepted Answer

B

Question 3

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

Accepted Answer

At the mean position, the potential energy of a system is zero because all the energy is kinetic at this point.

Question 4

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

Accepted Answer

In a spring-mass-damper system, all the listed forces are considered: spring force (restorative force proportional to displacement), damping force (proportional to velocity), and accelerating force (related to the mass's acceleration).

Question 5

Frequency is equal to ______.

Accepted Answer

Frequency is the number of cycles per unit time and is equal to the inverse of the time period (1/time period).

Question 6

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

Accepted Answer

When a body vibrates due to the influence of an external force, it is said to be under forced vibrations. This is because the external force causes the body to oscillate at the frequency of the force, rather than at the body's natural frequency.

Question 7

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

Accepted Answer

The answer of A vertical spring-mass system has a mass...

Question 8

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

Accepted Answer

The natural frequency (f) of a system is calculated using the formula f = (1/2π) * √(k/m), where k is the spring stiffness and m is the mass. Substituting the given values, f = (1/2π) * √(2452/0.5) ≈ 11.14 Hz.

Question 9

What is meant by node point?

Accepted Answer

A node point refers to the point along a standing wave where the amplitude of vibration is zero. This means there is no movement at these points, in contrast to antinodes, where the amplitude is maximum.

Question 10

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

Accepted Answer

The motion of a system executing harmonic motion with one natural frequency can be referred to as both the principal mode of vibration and the natural mode of vibration.

Question 11

Which of the following statements is/are true?

Accepted Answer

The answer of Which of the following statements is/are true?
...

Question 12

In the diagram shown below, if rotor X and rotor Z rotate in same direction and rotor Y rotates in opposite direction, then specify the type of node vibration.

Accepted Answer

When two rotors rotate in the same direction and one in the opposite direction, it typically results in a two-node vibration pattern due to the phase difference created by the opposing rotor.

Question 13

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

Accepted Answer

The answer of What is the total number of nodes...

Question 14

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

Accepted Answer

The answer of In a multi-rotor system of torsional vibration...

Question 15

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

Accepted Answer

During torsional vibration of a shaft, the node is characterized by zero angular displacement. This is because a node is a point along the shaft that remains stationary (does not rotate) while the rest of the shaft may experience torsional oscillations.

Question 16

The mass moment of inertia of the two motors in a two rotor system are 100 kgm2 and 10 kgm2 the length of the shaft of uniform

Accepted Answer

The length of the shaft is given as 100 cm in the problem statement.

Question 17

What is the number of nodes in a shaft carrying three rotors?

Accepted Answer

The answer of What is the number of nodes in...

Question 18

Consider the following statements: Two rotors mounted on a single shaft can be considered to be equivalent to a geared-shaft system having two rotors provided
1) The kinetic energy of the equivalent system is equal to that of the original system.
2) The strain energy of the equivalent system is equal to that of the original system.
3) The shaft diameters of the two systems are equal. Which of these statements are correct?

Accepted Answer

The answer of Consider the following statements: Two rotors mounted...

Question 19

Two rotors A and B are connected to the two ends of a shaft of uniform diameter. The mass moment of inertia of rotor A about the

Accepted Answer

The mass moment of inertia of a rotor is typically calculated based on its mass distribution and geometry. The correct choice is based on the given options and the typical calculation for a rotor's inertia.

Question 20

Which one of the following is correct for a shaft carrying two rotors at its ends?

Accepted Answer

A shaft carrying two rotors at its ends will have one node in the middle. This is because the node represents a point of zero amplitude in a mode shape of vibration, and with two masses (rotors) at the ends, the shaft will naturally tend to bend in such a way that it has a point of no displacement (a node) at its center when vibrating.

Quiz 2: Simple Harmonic Motion, Spring-Mass-Damper System, and Shaft Vibration