4-8 A mass m is subject to a resistive force -bu but no springlike restoring force....

Transcribed Image Text:

4-8 A mass m is subject to a resistive force -bu but no springlike restoring force. (a) Show that its displacement as a function of time is of the form tavo. c-De- -yt 8 where y = b/m. = (b) At t 0 the mass is at rest at x = 0. At this instant a driving force F = Fo cos wt is switched on. Find the values of A and > in the steady-state solution x = A cos(wt - - 8). (c) Write down the general solution [the sum of parts (a) and (b)] and find the values of C and vo from the conditions that x = 0 and dx/dt = 0 at t = 0. Sketch x as a function of t. 4-8 A mass m is subject to a resistive force -bu but no springlike restoring force. (a) Show that its displacement as a function of time is of the form tavo. c-De- -yt 8 where y = b/m. = (b) At t 0 the mass is at rest at x = 0. At this instant a driving force F = Fo cos wt is switched on. Find the values of A and > in the steady-state solution x = A cos(wt - - 8). (c) Write down the general solution [the sum of parts (a) and (b)] and find the values of C and vo from the conditions that x = 0 and dx/dt = 0 at t = 0. Sketch x as a function of t.