Phase Constant: Understanding SHM & Velocity

  • Thread starter Thread starter exparrot
  • Start date Start date
  • Tags Tags
    Constant Phase
AI Thread Summary
The phase constant in simple harmonic motion (SHM) is a crucial parameter that indicates the initial position of the oscillating object relative to its mean position. It is represented in the SHM equation x = A*sin(ωt + φ), where φ is the phase constant. To determine φ, one can use the ratio of the object's velocity and position at a specific time, v(0)/x(0). This ratio helps clarify the relationship between the object's initial conditions and its motion. Understanding the phase constant is essential for accurately describing the behavior of oscillating systems.
exparrot
Messages
21
Reaction score
0
I have no question in particular I need help solving but would just like to understand what the heck is a phase constant? I keep on reading different things in Wikipedia, my textbook, Cramster... I'm just not quite sure what it is exactly and how to find it in a SHM problem. I read in my textbook that it has to do with the velocity at a specified time and the position of the particle or object at that time. I'm shown in an example problem to find φ I have to solve v(0)/x(0), but why... is not clear to me. Would appreciate help understanding this seemingly elusive constant.
 
Physics news on Phys.org
The general expression of SHM is x = A*sin(ωt + φ). The starting point of the particle which executes SHM, from the mean position may any where between 0 to A. The angular position of this starting point is called the phase. You can find this angle by putting t = 0 in the equation of SHM.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top