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=4sin⁡10t+(π)/6 and x_2= 5 cosωt For what value of ω energy of both the particles is same?

MARKS Content Team · Accepted Answer

Correct answer: (D) 8 unit. E_1= E_2 ∴ 1/2m_1ω12A12=1/2m_2ω22A22 but m_1=m_2 ∴ ω12×16=ω22×25 ∴ 100×16=ω^2×25 ω=8 units

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?

Solution

More Oscillations Questions

The displacement of two identical particles executing SHM are represented by equations x1=4sin⁡10t+π6 and x2= 5 cosωt For what value of ω energy of both the particles is same?

Solution

More Oscillations Questions

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?