Question 2 (Pract 3) · Física II URV 2022

Transcribe the experimental values of period (T), angular frequency (\omega), and oscillation amplitude recorded during the laboratory session, clearly specifying the resonance angular frequency corresponding to the elongation of the mechanical oscillator.

Solución: Experimental table with T, \omega = 2\pi/T, and amplitude A, indicating peak amplitude at \omega_r.

Factor by which the resonance angular frequency increases if the spring constant is doubled ($k' = 2k$)

Solución: $\sqrt{2}$ / $1{,}414$

Deduce the new value of the resonance angular frequency if the spring constant were doubled. Justify your answer quantitatively by showing the appropriate expressions.

Solución: $\omega_r' \approx \sqrt{2}\,\omega_r$