Solving an Exercise Involving Particle P Moving Along the X-Axis

  • Thread starter Thread starter PhoenixWright
  • Start date Start date
  • Tags Tags
    Exercise Particle
AI Thread Summary
The exercise involves a particle P moving at constant speed v along the X-axis, with its initial position at x0 = 0. The discussion centers on how to describe this movement in a rotating reference frame O' with a constant angular velocity ω. Participants suggest differentiating the position expression to find velocity and acceleration vectors, emphasizing the need to consider Coriolis and centrifugal effects. There is uncertainty about whether the initial expression for position is sufficient or if further calculations are necessary. Ultimately, the approach of differentiating again to account for the forces in the rotating frame is confirmed as a valid method.
PhoenixWright
Messages
20
Reaction score
1
Hello.

I have the following exercise, and I would like you to say to me if I have it right and how to proceed:

"A particle P moves with constant speed v along the X axis of a reference system O, being x0 = 0 the position in t = 0. Describe the movement on another system O' with the same origin of coordinates and rotating with angular velocity constant ω in the sense clockwise."

H56wp4r.png


I have tried to solve as follows:
54J53Vp.png


So far, is my point correct?

Now, I had thought find the acceleration:

CmvBXqb.png

Is it correct?

Thank you!
 
Physics news on Phys.org
up :frown:
 
Why don't you just differentiate again?
But I'm not sure what the question is asking for. Isn't your expression for r' an adequate description? Do you need to find the velocity and acceleration vectors?
 
  • Like
Likes PhoenixWright
haruspex said:
Why don't you just differentiate again?
But I'm not sure what the question is asking for. Isn't your expression for r' an adequate description? Do you need to find the velocity and acceleration vectors?

Thank you!

Eventually I realized I could differentiate again. I believed that in this case I need to apply Coriolis and centrifugal acceleration, but I was reading and saw that could also solve in this way a moment ago.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top