Linked Questions

-2
votes
2answers
1k views

Check whether the expression shows periodic motion or simple harmonic motion [duplicate]

How can you check whether the given expression shows simple harmonic motion or not?And also how to calculate angular frequency of the given equation?
0
votes
1answer
528 views

Why do we use sine/cosines in Simple Harmonic Motion? [duplicate]

For example, to calculate the displacement of the particle in an harmonic oscillator we do: $$x(t) = x_{\max} \cos(ωt+φ)$$ What do we find out taking the cosine of (ωt+φ)? Example Graph:
0
votes
1answer
369 views

Simple harmonic motion equation [duplicate]

I don't really understand this equation and was wondering if someone could help. The book says when the restoring force is directly proportional to the displacement the oscillation is called SHM. ...
1
vote
2answers
73 views

Conceptual question about Osillations [duplicate]

I am confused about simple harmonic motion. I understand that it follows a sine wave but is it possible to explain why it does?
3
votes
3answers
47k views

How to derive the period of spring pendulum?

So I wanted to find out how to (simply, if that's possible) derive the formula for a period of spring pendulum: $T=2\pi \sqrt{\frac{m}{k}}$. However, Google doesn't help me here as all I see is the ...
2
votes
3answers
27k views

How to prove that a motion is Simple Harmonic Motion (SHM)?

I would like to know how one could show and prove that a given motion is simple harmonic motion. Once given an answer, I'll apply that technique to an example I am trying to figure out. Thank you ...
3
votes
3answers
1k views

Spring pendulum - why is it possible to use this equation?

It is known that, when we describe the spring pendulum, we are bound to use the formula $T = 2\pi \sqrt{m/k}$, however, we can go further and set $\omega = \frac{2\pi}{T}$ I ponder why is this ...
4
votes
1answer
5k views

Combination of Simple Harmonic Motions

Will the combination of 2 Simple Harmonic motions will be an SHM in itself? For example for simple functions such as $$\ f(t)=\sin\omega t-\cos\omega t$$ I can use trigonometry to show that it can ...
1
vote
1answer
5k views

Why does $k/m=\omega^2$ for harmonic motion? [closed]

Can anyone please give me a proof for $k/m=w^2$ in simple harmonic motion? I have tried energy conservation and Newton's laws as follows : In the case of a mass-spring system, $$F=ma =-kx\\ F=ma = ...
-3
votes
4answers
2k views

Derivation of Simple Harmonic motion equation [closed]

I don't seem to be getting anywhere. The differential equation is $$\frac{d^2x}{dt^2}=- \omega ^2x.$$ So, $$\frac{1}{x}dx^2=- \omega ^2dt^2$$ I integrated this equation twice but I'm not getting the ...
4
votes
1answer
1k views

Plotting a SHO in matlab [closed]

I have no prior experience of using matlab. My teacher want me to solve this question. I have been trying for a couple of hours now with no luck, please help! The mass of 100 g hanging in a spring ...
0
votes
2answers
380 views

Is a constant on the RHS of the equation of simple harmonic motion allowed? [closed]

I read at a STEP booklet that we have to know how to bring a simple harmonic motion's equation to the form: $$\frac{\mathrm{d}^2x}{\mathrm{d}t^2} + \omega^2x= c$$ where $c$ is a constant. We also ...