Consider the translational vibrations of a "small" rigid lathe along the cutting direction. A model of this system has a stiffness element k = 20 x 10^6 N/m, an inertia element m = 22.5 kg, and a damping coefficient /m. Determine the free response of this system for a 5 mm initial displacement and zero initial velocity. Plot the response and discuss it. How does the nature of the response of the system change when the damping coefficient is increased to.

The magnitude of the magnetic field at a certain distance from a long, straight conductor is represented by b. what is the magnitude of the magnetic field at twice the distance from the conductor? a. at twice the distance, the magnitude of the field is 4b.b. at twice the distance, the magnitude of the field is 2b.c. at twice the distance, the magnitude of the field is b/2.d. at twice the distance, the magnitude of the field is b/4.e. at twice the distance, the magnitude of the field remains equal to b.