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Assignment 5: transfer function for solving ODE

Derive the differential equation for the following mass spring damper mechanism, Find the transfer

function; find its step input. Find the max overshoot, settling time, rise time.

? = 10, ?2 = 3 ??? ?ℎ? ??????? ?????????? ?? ? = 1

Determine the transfer function of the following diagram using MatLab, where

?1 = ?2 = ?3 = ?5 = ?5 = ?6 =
1

2? + 10

And ?1 = ?2 =
1

?+0.1

Find the block reduction using matlab commands, then ind the step response of the system.

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