20met4052 motion control homework - transfer function of

Question

Motion Control Homework - Transfer Function of Systems with Gears

Problem 1 -

For the rotational system with lossless gears shown below, 

a) Draw equivalent system diagram by removing shaft 2 and 3.

b) Write an equation of motion and obtain transfer function, G(s) = θ₂(s)/T(s).

c) Find the system output θ₂(t), if system input T(t) is a unit step function and all initial conditions are zero. Tell the nature of system response.

d) Plot the system response and print it out. Remember to use your name and problem # as figure title and also label your plot.

Problem 2 -

For the rotational system with lossless gears shown below, 

a) Draw equivalent system diagram by removing shaft 1 and 3.

b) Write an equation of motion and obtain transfer function, G(s) = θ₂(s)/T(s).

c) Find the system output θ₂(t), if system input T(t) is a unit step function and all initial conditions are zero. Tell the nature of system response.

d) Plot the system response and print it out. Remember to use your name and problem # as figure title and also label your plot.