Something about applied dynamics.

In summary, the equation 2SA+SB=l becomes 2aA+aB=0 after differentiation. This is because the constant l disappears and the resulting equation is 2aA=-aB. Additionally, if SA and SB are constants, then vA and aA will be 0, as well as sB, resulting in a simplified equation.
  • #1
aiklone1314
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http://img17.imageshack.us/img17/6684/b1b1.gif

May i know actually why initially 2SA+SB=l , but after differentiate, it becomes 2 aA = -aB ?
why does the l disappear?
 
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  • #2
This thread does not belong here. Please move it to the homework thread.

Matt
 
  • #3
Hi aiklone1314! :smile:
aiklone1314 said:
May i know actually why initially 2SA+SB=l , but after differentiate, it becomes 2 aA = -aB ?
why does the l disappear?

2SA+SB = l, so 2aA+aB=0 (because l is a constant), so 2aA = -aB :wink:
 
  • #4
but how to know SA and SB is not a constant?
 
  • #5
aiklone1314 said:
but how to know SA and SB is not a constant?

If sA is constant, then vA and aA will be 0 (same for sB)
 
  • #6
tiny-tim said:
If sA is constant, then vA and aA will be 0 (same for sB)

ok thank you very much...
 

FAQ: Something about applied dynamics.

What is applied dynamics?

Applied dynamics is a branch of physics that deals with the study of motion and the forces that cause it, particularly in real-world or practical scenarios. It is concerned with the application of mathematical and physical principles to analyze and predict the behavior of objects in motion.

How is applied dynamics different from classical mechanics?

Applied dynamics is a subset of classical mechanics, which is the study of motion and forces in idealized or theoretical situations. Applied dynamics, on the other hand, focuses on analyzing real-world situations where factors like friction, air resistance, and other external forces may affect the motion of objects.

What are some applications of applied dynamics?

Applied dynamics has a wide range of applications, including engineering, robotics, aerospace, and biomechanics. It is used to design and analyze systems such as car engines, airplane wings, and prosthetic limbs, as well as to predict the motion of celestial bodies and satellites.

What are some key principles in applied dynamics?

Some key principles in applied dynamics include Newton's laws of motion, conservation of energy and momentum, and the concept of equilibrium. These principles help to explain and predict the behavior of objects in motion and are essential for understanding more complex systems.

How is applied dynamics related to other fields of science?

Applied dynamics is closely related to other fields of science, such as mathematics, engineering, and computer science. It also has connections to other branches of physics, such as thermodynamics and electromagnetism, as well as to other areas of study like biology and economics.

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