The support of the viscously damped pendulum shown in Fig. 3.34 undergoes harmonic oscillation. Derive the differential equation of motion of the system, then assume small amplitudes and solve for ).

And then solve these from the up

Transcribed Image Text:

L x(t) = X sin oot m FIGURE 3.34 Pendulum with harmonically-moving support Letting x (t) = X eiwt and 0(t) = 0 (w)ei(wt-$(w)) Get the magnitude of 0(w) and the phase angle (w) Then, 0(t) =? L x(t) = X sin oot m FIGURE 3.34 Pendulum with harmonically-moving support Letting x (t) = X eiwt and 0(t) = 0 (w)ei(wt-$(w)) Get the magnitude of 0(w) and the phase angle (w) Then, 0(t) =?

Answer rating: 100% (QA)

The equations of the system can be derived using lagrangian equation The lag... View the full answer