Question

Consider the undamped system with \(F(t) = F_0 \cos(\omega t)\). The initial conditions such that the response of the system oscillates at only one frequency \(\omega\) are: Select one: a. \(x_0 = 0\) and \(v_0 = 0\) b. \(x_0 = 0\) and \(v_0 = f_0/(\omega_n^2 - \omega^2)\) c. \(v_0 = 0\) and \(x_0 = f_0/(\omega_n^2 - \omega^2)\) d. \(x_0 = 0\) and \(v_0 = f_0/(\omega^2 - \omega_n^2)\)

          Consider the undamped system with \(F(t) = F_0 \cos(\omega t)\).
The initial conditions such that the response of the system oscillates at only one frequency \(\omega\) are:
Select one:
a. \(x_0 = 0\) and \(v_0 = 0\)
b. \(x_0 = 0\) and \(v_0 = f_0/(\omega_n^2 - \omega^2)\)
c. \(v_0 = 0\) and \(x_0 = f_0/(\omega_n^2 - \omega^2)\)
d. \(x_0 = 0\) and \(v_0 = f_0/(\omega^2 - \omega_n^2)\)

Consider the undamped system with F(t) = F0 cos(ω t).
The initial conditions such that the response of the system oscillates at only one frequency ω are:
Select one:
a. x0 = 0 and v0 = 0
b. x0 = 0 and v0 = f0/(^2 - ω^2)
c. v0 = 0 and x0 = f0/(^2 - ω^2)
d. x0 = 0 and v0 = f0/(ω^2 - ^2)

Added by Vanesa G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Varsha Aggarwal

Step 1

In this case, the external force is given by Ft = FoCoswt, where Fo is the amplitude of the force and w is the angular frequency. Show more…

Show all steps

Thanks for your feedback!

Consider the undamped system with Ft = FoCoswt The initial conditions such that the response of the system oscillates at only one frequency w are: Select one: a. x0 = 0 and v0 = 0 b. x0 = 0 and v0 = f0/(wn^2 - w^2) c. v0 = 0 and x0 = f0/(wn^2 - w^2) d. x0 = 0 and v0 = f0/(w^2 - wn^2)