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Help needed about Mechinical Systems

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shahzadleo7

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Please tell me why there is second derivative with Mass "m" and First Derivative with Damper "b"


Book : Modern Control Engineering
Writer: Ogata
Edition: 4th
Chapter: 3rd
Topic: Mechanical Systems

Added after 58 seconds:

Equation

mx^2+yx^1+kx=U
 

cdh7

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Hi,

Without having the book here in front of me, it looks like you're summing up forces. Using F=m*a, acceleration a is the second derivative of position. And the force from a damper is proportional to velocity, the first derivative of position.

Regards,
Chris
 

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