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Mechanical engineers work in many different areas, but they all have in common the core engineering knowledge and skills they developed from their studies and from continued professional development:

knowledge of mechanical systems (e.g., dynamics, kinematics, solid mechanics, controls) and thermofluid systems (e.g., thermodynamics; transport phenomena; energy conversion)
understanding of engineering design principles
the ability to apply this knowledge to solve problems
the communication skills to work with others to realize these solutions
information technology skills

The following characteristics are also helpful:

the ability to think in mathematical and abstract terms
the ability to visualize three-dimensional objects from two-dimensional drawings
an interest in technical processes
persistence and determination

In today's multidisciplinary environment, you need additional skills. Successfully operating in a multidisciplinary environment requires a broad intellectual perspective. You will need the psychological and philosophical capacity to first comprehend and then translate the assumptions of other fields. Equally important is the ability to manipulate information into knowledge as well as understand and communicate across disciplines.

My best qualities probably are my ability to work in a team environment. Working in a team you have to earn the respect of the people you work with, and that's a very important thing to learn. And to earn respect you have to work hard and be diligent, and I think those are the keys. I think that as part of a team you have to earn respect of your peers, and the best way to do that is to do your best always in all things that are given to you -- big or small tasks. Teamwork is always a skill that you want to be able to carry away from any job, because it will be well used in any other job that you try to attain in life. - Melinda Cecacci, Aerospace Technologist, NASA - Johnson Space Center