A seismic instrument (a mass that is attached to a spring and a damper) is used to measure a periodid input signal y(t) 0.8 sin(30n t); y is the displacement [cm], and t is time [sec]. This instrumen...
3. A mass on frictionless rollers is attached to a wall using a spring-damper mechanism: 99m where input u is force and output y is position. Consider a unity-feedback control scheme as shown in question 2, but where the controller and plant are the following: C(s)1 P(s) Note that the parameters M1 and K 2 have been substituted, but that damping coefficient B is unknown. Suppose the damper slowly wears out over time. Draw a root-locus plot illustrating how the...
Differential Equation problem We know that a force of 2.8 Newtons is required to stretch a certain spring 0.7 meters beyond its natural length. A 1.44-kg mass is attached to this spring and allowed to come to equilibrium. The mass-spring system is then set in motion by applying a push in the upward direction that gives the mass an initial velocity of 1.04 meters per second. Let y(t) represent the displacement of the mass above the equilibrium position t seconds...
x(t) y(d) Consider the spring-mass-damper system above travelling along a bumpy surface with a height change. The damping ratio is =0.2, the natural frequency is 3 rad/s, and the mass, m=200 kg. The wheel does not lose contact with the road and the road has the shape, y(d)4sin 0H(d 10) where d is distance in meters, and y(d) is the height in centimeters 1. Write the ordinary differential equation for v-1 m/s and v-5 m/s. 2. The solution of x(t)...
QUESTION 2: Consider this forced translational mass-spring-damper (MSD) system: The input is the external force "F(t)" and the output is position "x(t)." The transfer function for this system is g) - 6 - Mz? +BS+K It is known that M - 1 kg. B - 10 mm, and there are three possible values of K: (K = 16 K = 34 NK-89 The only possible external forces "F(t)" have the following Laplace transforms: 1) F,(s) - 0 (corresponding to external...