The displacement of two identical particles executing SHM are represented by equations

$x_{1} = 4 \sin (10 t + \frac{π}{6})$ and $x_{2} = 5 cos ω t$

For what value of $ω$ energy of both the particles is same?

Question

The displacement of two identical particles executing SHM are represented by equations x 1 = 4 sin ⁡ 10 t + π 6 and x 2 = 5 cos ω t For what value of ω energy of both the particles is same?

TestHub · Accepted Answer

E 1 = E 2 ∴ 1 2 m 1 ω 1 2 A 1 2 = 1 2 m 2 ω 2 2 A 2 2 but m 1 = m 2 ∴ ω 1 2 × 16 = ω 2 2 × 25 ∴ 100 × 16 = ω 2 × 25 ω = 8 units

Physics - SHM Question with Solution | TestHub

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