Uncategorized: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

Using $v^2 = \omega^2(A^2 - x^2)$, we get $100 = \omega^2(A^2 - 16)$ and $64 = \omega^2(A^2 - 25)$.\nDividing them yields $A^2 = 41$. Substituting back gives $\omega^2 = 100/25 = 4 \implies \omega = 2$.\nTime period $T = 2\pi/\omega = \pi \text{ sec}$.