Frequency of variation of kinetic energy of a simple harmonic motion of frequency n is
2n
n
n2
3n
A
n
B
2n
C
n2
D
3n
Open in App
Solution
Verified by Toppr
The velocity of a simple harmonic oscillator varies as v0sin(2πnt+ϕ)
Kinetic energy is,
K=12mv2=12mv20sin2(2πnt+ϕ)
Now,
sin2θ=12(1−cos(2θ))
So,
K=12mv20(12−12cos(4πnt+2ϕ))
K=14mv20−14mv20cos(2π(2n)t+2ϕ)
Here, the time dependence comes from the last term and its frequency is 2n.
Was this answer helpful?
4
Similar Questions
Q1
Frequency of variation of kinetic energy of a simple harmonic motion of frequency n is
View Solution
Q2
When a particle oscillates simple harmonically, its kinetic energy varies periodically. If frequency of the particle is n, the frequency of the kinetic energy is:
View Solution
Q3
For a simple harmonic vibrator of frequency n, the frequency of kinetic changing completely to potential energy is
View Solution
Q4
A body is executing simple harmonic motion with frequency n, the frequency of its potential energy is
View Solution
Q5
The frequency of a particle executing simple harmonic motion is 10Hz. The frequency of variation of its kinetic energy is