New answers tagged oscillators
4
votes
Is sound essentially motion?
All sound is motion, but not all motion is sound.
The first topic to discuss would be oscillation. In theory, one can use the Fourier transform to decompose any motion into the sum of oscillating ...
- 45.6k
1
vote
Is projection of a simple pendulum, doing SHM as well?
If we have a point moving on a circle of radius $R$ with an angular coordinate $\theta(t)~$ ($\theta=0$ coinciding with the $y$ axis), and we project it onto a line perpendicular to the $y$ axis, the ...
4
votes
Is projection of a simple pendulum, doing SHM as well?
A simple pendulum does approximate shm. Suppose that we displace it through angle $\theta$ from its equilibrium position. If $s$ is its displacement along the arc from its equilibrium position, then ...
- 34.9k
0
votes
Force-dependency of frequency response of driven harmonic oscillator with damping
The question seems to be based on a misreading of the Wikipedia statement
"For a particular driving frequency called the resonance, or resonant frequency
$\omega _{r}=\omega _{0}{\sqrt {1-2\zeta ...
- 23.8k
0
votes
In a damped oscillation with damping force $F=-bu$ at which position does the maximum velocity occur?
starting with the equation of motion
$$\ddot x+\frac bm\dot x+\frac cm=0$$
you obtain the solution $~x(t)~$ with $~(x(0)=0~,\dot x(0)=v_0)~$
$$x(t)=\rm e^{-\beta\,t}\,\frac{v_0}{\omega_b}\sin(\...
- 11.5k
0
votes
In a damped oscillation with damping force $F=-bu$ at which position does the maximum velocity occur?
The position of maximum speed precedes the equilibrium position.
Perhaps the easiest way to see this is to consider the net force at the equilibrium position, as long as the mass is still moving. The ...
- 23.8k
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