In this section, we shall briefly explore applying a periodic driving force acting on a simple harmonic oscillator. The driving force puts energy into the system at a certain frequency, not necessaril...In this section, we shall briefly explore applying a periodic driving force acting on a simple harmonic oscillator. The driving force puts energy into the system at a certain frequency, not necessarily the same as the natural frequency of the system. The natural frequency is the frequency at which a system would oscillate if there were no driving and no damping force.
Then the same argument leads to the result for the displacements of blocks 1 and 2: \[\psi_{1}(t)=\frac{\cos \frac{k a}{2}}{\cos \frac{5 k a}{2}} d_{0} \cos \omega_{d} t, \quad \psi_{2}(t)=\frac{\cos ...Then the same argument leads to the result for the displacements of blocks 1 and 2: \[\psi_{1}(t)=\frac{\cos \frac{k a}{2}}{\cos \frac{5 k a}{2}} d_{0} \cos \omega_{d} t, \quad \psi_{2}(t)=\frac{\cos \frac{3 k a}{2}}{\cos \frac{5 k a}{2}} d_{0} \cos \omega_{d} t .\]
