Consider the Following Translational Mechanical System Assignment

Assignment Task

Consider the following translational mechanical system. Suppose M = 2 kg, K = 12 N/m, and f = 10 Ns/m. Assume zero initial conditions.

1. Find the transfer function (in the Laplace domain) of F(8) the system.

II. Find the damping ratio ( of the system.

III. Find the unit step response x(t) (in the time domain) of the system.

Consider the following rotational mechanical system. Suppose K1 = K2 = 1 N-m/rad, D1 = D3 = 1 N-m-s/rad, and J1 = 1 kg-m2. Assume zero initial conditions.

I. Find the transfer function e1 (8) T(8) (in the Laplace domain) of the system.

II. Use the Routh-Hurwitz stability criterion (or otherwise) to show whether the transfer function in Q3(1) is stable.

Consider the following electrical system. Suppose R1 = 20, R2 = 2N, R3 = 1N, C1 Assume zero initial conditions.

I. Find the transfer function (in the Laplace domain) of Vi (8) the circuit. 

II. Sketch all the pole(s) and zero(s), if any, on a 2-D s-plane. 

III. Now, suppose v; (t) is turned on at time t = 0 and it has an amplitude of 5V. Find the circuit's step response v, (t) (in the time domain).

Consider a motor with the following load line (i.e. the relationship between its torque Tm and angular velocity wm when a voltage source ea = 10 V is connected to it.)

I. Given the equivalent resistance of its armature (i.e. Ra) is 65 , find its corresponding back-emf constant (i.e. K¿) and motor torque constant (i.e. Kt).
Vo(s)

II. Derive the transfer function of the following circuit. Vi(s) Name one benefit of using it to connect electrical systems together. 

Consider the following block diagram of a control system.

1. Draw the system's equivalent signal-flow graph.

2. Find the transfer function C(s) R(s) of the system. 

This Engineering has been solved by our PHD Experts at My Uni Paper.