(Solved): b. A system shown in Figure Q2a has an output y(t) which varies with time when subject to step input ...
b. A system shown in Figure Q2a has an output
y(t)which varies with time when subject to step input of
x(t). Using Laplace transform and inverse Laplace, find the time response of the system if a unity step input
x(t)=1is applied to it and all initial conditions are zero. Given the value of damping coefficient,
c=20N(s)/(m)and spring stiffness,
k=10(N)/(m), find the time constant,
\tau , of the sy
^(')and plot the response of the system. (6.
(3)/(6)Sistem yang ditunjukkan dalam Rajah S2a mempunyai keluaran y(t) yang berubah mengikut masa apabila tertakluk kepada input langkah bagi x(t). Menggunakan penjelmaan Laplace dan songsang Laplace cari tindak balas masa sistem jika unit input langkah
x(t)=1digunakan dan semua keadaan awal adalah sifar. Diberi nilai pekali redaman,
c=20N(s)/(m)dan kekakuan spring,
k=10(N)/(m), cari pemalar masa sistem,
\tau , dan plotkan tindak balas system. (6 markah)
