Comp Sci For which of the following purposes is the Banker’s algorithm used?

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The Banker's Algorithm is primarily used in operating systems to prevent deadlock by ensuring that resource allocation does not lead to a state where deadlock is possible. It operates by simulating resource allocation for processes and determining if the system remains in a safe state. While it does not solve deadlock once it occurs, it helps avoid situations that could lead to deadlock. The algorithm assesses resource requests and grants them only if they do not put the system in jeopardy. Understanding the Banker's Algorithm is essential for managing resources effectively in concurrent processing environments.
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Homework Statement
Banker’s algorithm is used?
a. Preventing deadlock
b. Solving deadlock
c. Recover from deadlock
d. None
Relevant Equations
Answer: Banker's Algorithm is mainly used to prevent deadlock.
I am new to the operating system and I want to know, Is it right Banker's Algorithm is mainly used to prevent deadlock? I picked this question from https://www.interviewbit.com/operating-system-mcq/ and I think it is also used for Solving deadlock, Can anyone know, Is this right?
 
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Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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