Two identical point masses $P$ and $Q$, suspended from two separate massless springs of spring constants $k_1$ and $k_2$ respectively, oscillate vertically. If their maximum speeds are the same, the ratio ($A_Q/A_P$) of the amplitude $A_Q$ of mass $Q$ to the amplitude $A_P$ of mass $P$ is:

Question

Dr. Abubacker · Accepted Answer

[Solution by Claude - not from source] $v_{max}=A\omega=A\sqrt{k/m}$. Equal $m$ and equal $v_{max}$: $A_P\sqrt{k_1}=A_Q\sqrt{k_2}\Rightarrow\frac{A_Q}{A_P}=\sqrt{\frac{k_1}{k_2}}$. Answer (4).

Q. Two identical point masses $P$ and $Q$, suspended from two separate massless springs of spring constants $k_1$ and $k_2$ respectively, oscillate vertically. If their maximum speeds are the same, the ratio ($A_Q/A_P$) of the amplitude $A_Q$ of mass $Q$ to the amplitude $A_P$ of mass $P$ is:

Explanation

Reviewed by Dr. Abubacker

Want to attempt the full paper?