 128
 3
1. The problem statement, all variables and given/known data
c is the coefficient of damping, k is the spring constant, and m is the mass.
if the cart is displaced from rest by distance X_0 and released at t=0 with initial velocity v_0=1.
2. Relevant equations
3. The attempt at a solution
Ok this might be a stupid question because I wasn't able to find a similar question like this anywhere, this question just pops into my mind when I was solving for transfer functions on a system with a force input. I think I am still a little confused on the definitions. So I found it's equation of motion in time and Laplace domain, but if I were asked to find the transfer function of the plant, does it exists? since G(s)= output/ input, as far as I see here, there is no input since it was released at t=0, if it has an input, I can just take the X(s)/ input(s). Can someone please confirm my understanding?
c is the coefficient of damping, k is the spring constant, and m is the mass.
if the cart is displaced from rest by distance X_0 and released at t=0 with initial velocity v_0=1.
2. Relevant equations
3. The attempt at a solution
Ok this might be a stupid question because I wasn't able to find a similar question like this anywhere, this question just pops into my mind when I was solving for transfer functions on a system with a force input. I think I am still a little confused on the definitions. So I found it's equation of motion in time and Laplace domain, but if I were asked to find the transfer function of the plant, does it exists? since G(s)= output/ input, as far as I see here, there is no input since it was released at t=0, if it has an input, I can just take the X(s)/ input(s). Can someone please confirm my understanding?
Attachments

19.6 KB Views: 162