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Describe the transformation of acceleration vectors between coordinate systems in control theory.

          Describe the transformation of acceleration vectors between coordinate systems in control theory.

Added by Chelsea M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Supreeta N

11/15/2023

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Describe the transformation of acceleration vectors between coordinate systems in control theory.

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Transcript

00:01 Hello students, to solve this question first take laplace transform of the given equation.

00:18 So we have s square l s is equal to g phi.

00:25 Now taking this equation one also x is equal to f minus m g phi.

00:37 Now taking this equation two next is equal to x s minus x s.

00:47 Now taking this equation three now next x is equal to l phi s taking this equation four.

00:57 Now from three and four so we can write x is equal to x minus l phi.

01:08 Now from one so we have s square x l phi is equal to g phi.

01:19 Now this will gives two x is equal to g plus l s 2 phi.

01:30 Now from this phi will be equal to s 2 into t divided by l s 2 plus g.

01:42 Now substituting v is equal to now v is s t.

01:50 So x is equal to v upon s...

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