Solving BoB Vibration Question: Angles, Velocity & Acceleration

• FChebli
In summary, the problem involves a Bob released from rest with a length of 102 cm and an angle of +-5 degrees, and g = 9.81 m/s2. We are asked to determine the angle theta and the magnitudes of velocity and acceleration after 1.6 seconds, assuming simple harmonic motion. The relevant equation is theta = A sin (w t + phai), where A is the amplitude and w is the angular frequency. The user also asks about the meaning of phai and how to obtain the values of w and A. However, the person responding reminds them to show their work and solve the problem themselves, only providing assistance with checking their math. It is noted that BoB most likely refers to the

FChebli

1. Homework Statement :

BoB released from rest, L = 102 cm, theta = +-5 degrees, g = 9.81 m/s2
assume a SHM
(I) Determine the angle theta after 1.6 s
(II) Determine the magnitudes of velocity & acceleration of the BoB at 1.6 s

Homework Equations

theta = A sin (w t + phai)

The Attempt at a Solution

Does pahi represent the period? And how do I get it?
Do I derive theta once & twice? And why?
How do I get w & A?

Thank you!

FChebli: You must list relevant equations yourself, and show your work; and then someone might check your math. We are not allowed to provide answers here. We can only check your math, after you do all of the work. What is BoB? Parameter phai is probably phase angle.

1. What is BoB vibration and why is it important to solve?

BoB vibration, also known as Blade on Blade vibration, is a phenomenon that occurs in rotating machinery where the blades of the rotor interact with each other, causing unwanted vibrations. It is important to solve because these vibrations can lead to equipment failure, increased maintenance costs, and even safety hazards.

2. How do angles, velocity, and acceleration affect BoB vibration?

The angles, velocity, and acceleration of the rotor blades can greatly impact the occurrence and severity of BoB vibration. As the blades rotate, they experience changes in angles, velocity, and acceleration, which can cause them to come into contact with each other, leading to vibrations.

3. What methods can be used to solve BoB vibration?

There are several methods that can be used to solve BoB vibration, including adjusting the blade design, using damping materials, and implementing balancing techniques. Additionally, advanced technologies such as laser measurements and computer simulations can also be used to identify and mitigate BoB vibration.

4. How can we prevent BoB vibration from occurring in the first place?

Preventing BoB vibration involves careful design and maintenance of the rotating machinery. This includes proper blade design, regular maintenance and inspections, and implementing vibration monitoring systems to detect any potential issues before they escalate.

5. What are the potential consequences of not solving BoB vibration?

If BoB vibration is not addressed, it can lead to serious consequences such as equipment failure, production downtime, increased maintenance costs, and safety hazards for workers. It can also cause damage to the surrounding infrastructure and potentially harm the environment. Therefore, it is crucial to solve BoB vibration to ensure the safe and efficient operation of rotating machinery.