iran-konkur 2014 Q189

iran-konkur · Other · konkur-riazi_1393 Not Maths
189- A mass-spring oscillator oscillates on a frictionless horizontal surface with amplitude $A_1$ and frequency $f_1$. At the moment when the oscillator is at the farthest distance from the center of oscillation, $\frac{3}{4}$ of the mass separates and the remaining mass attached to the spring continues to oscillate. If in this new state the frequency is $f_2$ and the amplitude is $A_2$, the ratios $\dfrac{f_2}{f_1}$ and $\dfrac{A_2}{A_1}$ from right to left are respectively:
(1) 1 and 1 (2) 1 and 2 (3) 1 and 1 (4) 2 and 2
\textbf{189-} A mass-spring oscillator oscillates on a frictionless horizontal surface with amplitude $A_1$ and frequency $f_1$. At the moment when the oscillator is at the farthest distance from the center of oscillation, $\frac{3}{4}$ of the mass separates and the remaining mass attached to the spring continues to oscillate. If in this new state the frequency is $f_2$ and the amplitude is $A_2$, the ratios $\dfrac{f_2}{f_1}$ and $\dfrac{A_2}{A_1}$ from right to left are respectively:

\begin{center}
(1) 1 and 1 \hspace{1cm} (2) 1 and 2 \hspace{1cm} (3) 1 and 1 \hspace{1cm} (4) 2 and 2
\end{center}