Analytical Mechanics in Mechanical Engineering

In summary, the conversation discusses the importance of Analytical Mechanics in Mechanical Engineering and whether or not it is necessary to take a specific course on it. There is some confusion on what exactly is covered in Analytical Mechanics and whether it is necessary for a MechE student to take it. Some mention that it is typically taught in graduate school for engineers, but it is required for undergrad physics majors. Overall, it is agreed that Analytical Mechanics covers Hamiltonian and Lagrangian Mechanics, which may provide an advantage for undergrad MechE students who take the course.
  • #1
Hobold
83
1
How important is Analytical Mechanics in Mechanical Engineering?

I'm asking that because my regular course does not offer Analytical Mechanics in its original curriculum, so I would have to get it as an elective from Physics course (curriculums are pretty much pre-defined in here). Thing is: there are a lot of specific course requirements to apply which are uncommon to my ME curriculum, beaking those requirements would be a pain in the *** and it's very likely I will be declined, as they usually do that only to exceptionally great students (which I am not).

I've heard Analytical Mechanics is a must, so I really don't know what to do. Is it worth going after the specific course or is it enough to study by myself? What should I know before I start AM and which books do you recommend?

Thank you very much.
 
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  • #2
What exactly is covered in this Analytical Mechanics? I didn't take a course called Analytical Mechanics in undergrad but I am sure most of the material is covered through other classes. If its not part of your program then you shouldn't worry about it unless it is something you are really interested in.
 
  • #3
Analytical Mechanics is probably simply another name for an actual Classical Mechanics course, not simply an engineering Statics or Dynamics, right?
 
  • #4
It covers Hamiltonian and Lagrangian Mechanics, basically.

Yeah, Shackleford got it right.
 
  • #5
Unless I've been misinformed, engineers typically don't touch Lagrangian and Hamiltonian Dynamics until graduate school. However, it is required for undergrad physics majors. I took this class this past semester. It was difficult. If you take it as an undergrad MechE, you'll have a leg up on the competition.
 

1. What is analytical mechanics in mechanical engineering?

Analytical mechanics is a branch of physics and engineering that applies mathematical principles and equations to analyze and understand the motion and behavior of mechanical systems. It is used to solve problems related to the design, operation, and maintenance of machines and structures.

2. What are the main principles of analytical mechanics?

The main principles of analytical mechanics include Newton's laws of motion, conservation of energy, and conservation of momentum. These principles are used to describe and predict the motion of mechanical systems and can be applied to both linear and rotational motion.

3. What are the key components of a mechanical system in analytical mechanics?

The key components of a mechanical system in analytical mechanics include the body or bodies involved, the forces acting on the bodies, and the external constraints or interactions with the environment. These components are used to create mathematical models of the system and analyze its behavior.

4. How is analytical mechanics used in mechanical engineering?

Analytical mechanics is used in mechanical engineering to design, analyze, and optimize various mechanical systems such as engines, machines, and structures. It helps engineers understand the behavior of these systems and make informed decisions about their design and operation.

5. What are some common applications of analytical mechanics in mechanical engineering?

Some common applications of analytical mechanics in mechanical engineering include the design and analysis of vehicles and transportation systems, structures such as bridges and buildings, and machines used in manufacturing and industry. It is also used in fields such as aerospace engineering and robotics to study the behavior of complex systems.

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