The remaining problems ub this section deal with free damped motion. In Problems, a mass m is attached to both a spring (with given spring constant c). The mass is set in motion with initial position x0 and initial velocity v0. Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) = C1e−pt cos(ω1t −α1). Also, find the undamped position function u(t) = C0 cos(ω0t − α0) that would result if the mass on the spring were set in motion with the same initial position and velocity, hut with the dashpot disconnected (so c = 0). Finally, construct a figure that illustrates the effect of damping by comparing the graphs of x(t) and u(t).
m = 1, c = 10, k = 125; x0 = 6, u0 = 50
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.