Need help in Phase of time in SHM

  • Thread starter Thread starter Chrisemo
  • Start date Start date
  • Tags Tags
    Phase Shm Time
AI Thread Summary
To find the phase of the particle's motion at t=1.38s, the relevant equation is x = (6.0m) cos(0.586t + 0.72). The phase angle is determined by the expression inside the cosine function, which is (0.586*t + 0.72) radians. At t=1.38s, the correct calculation for the phase should be performed using this expression. The initial attempt mistakenly identified the phase, emphasizing the importance of correctly interpreting the equation. Understanding the phase in the context of simple harmonic motion is crucial for solving such problems accurately.
Chrisemo
Messages
7
Reaction score
0
Hi, I'm very confused about one question in my homework, that is due today.
I appreciate any help.Thank you very much.

1. Homework Statement

The motion of a particle is given by: x = (6.0m) cos(0.586t + 0.72)
Find the phase at time t=1.38s

2. Homework Equations

Simple harmonic motion

The Attempt at a Solution


I found the point 0.25262 m and the phase 2pi(1.38)/10.72
 
Physics news on Phys.org
The "phase [angle]" is [usually] the expression inside the the cosine function: (0.586*t+0.72) radians.
So, your point is the position at t=1.38s. However, you didn't correctly identify the phase.

I say "usually" because some texts might have defined it using another function (like the sine function).
 
thanks
 
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 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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