How Does Frequency Depend on Gravity in Classical Mechanics?

In summary, classical mechanics is a branch of physics that studies the motion and behavior of macroscopic objects under the influence of forces. It is based on the laws of motion and gravitation developed by Isaac Newton in the 17th century. The fundamental principles of classical mechanics include Newton's laws of motion, the conservation of energy, and the conservation of momentum. These principles govern the behavior of objects in motion and can be used to predict and analyze their motion. Classical mechanics differs from quantum mechanics in that it describes the behavior of larger objects while quantum mechanics deals with particles at the atomic and subatomic level. Some important applications of classical mechanics include engineering, astronomy, and the design of vehicles and structures. To solve problems in classical mechanics, one must
  • #1
Arij
25
2

Homework Statement


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how from this question using Energy principles I can find how frequency depends on g?

Homework Equations

The Attempt at a Solution


I know that frequency is sqrt(k/m) this is a formula you use in introductory physics. but I am lost on how to do it from energy route or Newtons law?

thanks.
 

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  • #2
For part a:
What will be the work done against the restoring force when the other end is displaced by an infinitesimally small amount dx? This work is nothing but the potential energy stored in the spring for infinitesimal displacement dx.
 

FAQ: How Does Frequency Depend on Gravity in Classical Mechanics?

What is classical mechanics?

Classical mechanics is a branch of physics that studies the motion and behavior of macroscopic objects under the influence of forces. It is based on the laws of motion and gravitation developed by Isaac Newton in the 17th century.

What are the fundamental principles of classical mechanics?

The fundamental principles of classical mechanics include Newton's laws of motion, the conservation of energy, and the conservation of momentum. These principles govern the behavior of objects in motion and can be used to predict and analyze their motion.

How is classical mechanics different from quantum mechanics?

Classical mechanics describes the behavior of macroscopic objects, while quantum mechanics describes the behavior of particles at the atomic and subatomic level. Classical mechanics is deterministic, meaning that the future behavior of a system can be predicted with certainty, while quantum mechanics is probabilistic, meaning that the future behavior can only be described in terms of probabilities.

What are some important applications of classical mechanics?

Classical mechanics has many important applications, including engineering, astronomy, and the design of vehicles and structures. It is also the foundation for many other branches of physics, such as thermodynamics and electromagnetism.

How can I solve problems in classical mechanics?

To solve problems in classical mechanics, it is important to understand and apply the fundamental principles, such as Newton's laws, conservation of energy and momentum, and mathematical equations such as Newton's second law and the equations of motion. It is also helpful to practice problem-solving techniques and work through examples and exercises to build problem-solving skills.

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