2020年1月18日 · Simple Harmonic Motion is a projection of a uniform circular motion with radius equal to the amplitude. You can see this video for understanding it better. Now, imagine this figure

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 ca...

2011年12月9日 · Yes, the displacement function for simple harmonic motion can be expressed as x(t) = A sin(ωt + Φ) or x(t) = A cos(ωt + Φ). The choice of using a sine or cosine function depends on the initial conditions of the system. If the object starts at its equilibrium position (x=0) at time t=0, then we can use either function.

2009年7月10日 · One thing to keep in mind about pendula is that the restoring force is actually nonlinear in the position, even for an ideal pendulum. The motion of the bob is only approximated by simple harmonic motion for small oscillations. However, again, since gravity is essentially the restoring force, the mass should factor out of the motion (ideally).

2008年1月16日 · The problem asks to show that the object exhibits simple harmonic motion with a given angular frequency. The conversation includes equations for buoyancy and acceleration, and through discussion, it is determined that the object is in equilibrium when floating and the displacement of the object causes a restoring force to bring it back to ...

2008年4月28日 · [SOLVED] Simple Harmonic Motion, Finding Time Homework Statement A 0.400 kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate the time interval required for the object to move from x = 0 to x = 4.00 cm. Homework Equations The relevant equations for this ...

2012年5月27日 · Hi guys! I'd really like help with this as I'm stuck. Homework Statement Investigate the mathmatical relationship between period of a spring and mass. Finding the spring constant (k) from measuring periods with a spring and different hanging masses. Homework Equations T = 2pi...

2014年8月11日 · In my textbook, it says that a pendulum only exhibits simple harmonic motion when the angle is small (<10 degrees). I was wondering why this is, using equations if possible. Without the math, I think this is the case because the part of the pendulum's motion that exhibits SHO is its horizontal displacement from the equilibrium position (i'm not ...

2010年2月2日 · This topic has proved itself to be a hard one in, in terms of looking it up online. I'm interested in simple harmonic motion, in specific that of a tuning fork vibrating between two electromagnetic devices, a microphone ad a detector. My main interest in it is to write a lab report about an experiment I have conducted on a tuning fork.

2010年1月25日 · This is represented by the negative sign in the formula for acceleration: a = -w^2x. In summary, in simple harmonic motion, the acceleration is proportional to the negative displacement because acceleration and displacement are vectors with opposite directions, and this is necessary to maintain the oscillating motion of the system.