00:01
Hello students, in this question we have given the system as shown in the below.
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We have to find its moment of inertia value j and d with yield 20 % overshoot with a time 2 seconds for s.
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Step input of torque t of t.
00:21
This is the given information.
00:23
So, first we have to look at its transfer function.
00:27
So, we have the general form for the transfer function g of s is equal to omega n square the natural frequency divided by s square plus 2 into damping coefficient into omega n s plus omega n square or we can write in terms of j and d that g of s is equal to 1 divided by j all divided by s square plus d by j into s plus k by j.
01:10
So, we have the formula for our calculation.
01:15
So, looking the terms that we have provided.
01:18
So, comparing with the general solution we can write omega n is equal to 1 root of k by j and we have 2 into damping coefficient into omega n is equal to d divided by j.
01:44
So, we can write from these problem statement we have t...