Plot motion of particle with constant speed and angular velocity

AI Thread Summary
The discussion centers on a particle sliding inward on a rotating platform with constant speed and angular velocity. Participants express confusion regarding the trajectory plot, questioning whether it should consist of straight lines due to the absence of acceleration. The concept of sliding implies no friction, leading to the assumption that the trajectory would appear linear in an inertial frame. However, the challenge arises in reconciling this with the circular motion, where centripetal force typically acts outward. The conversation highlights the complexities of analyzing motion in different frames of reference while considering the effects of angular velocity.
S_Flaherty
Messages
75
Reaction score
0
Consider the problem of a particle sliding inwards with a constant speed c and starting at radius R=pc/Ω, on a platform rotating with a constant angular velocity Ω. Give a plot of the trajectory of the particle from r=R to r=0, for p=0.5, 1, 2, 6.


I'm a little confused on how to do this. If there is no acceleration, then would the plot just be a series of straight lines? And should I plot r vs t even though time isn't mentioned at all?
 
Physics news on Phys.org
"Sliding" would imply that there is no friction with the platform, in which case the trajectory should indeed be a straight line - in an inertial frame of reference. Are you perhaps supposed to find the trajectory in the platform's frame?
 
Also, how can something slide inward if it's moving in circular motion? Wouldn't centripetal force cause it to slide outward?
 
S_Flaherty said:
Also, how can something slide inward if it's moving in circular motion? Wouldn't centripetal force cause it to slide outward?

That's why I think there is no friction.
 

Thread 'Rolling without slipping on a curved surface'

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 .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

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...
View full post »

Similar threads

System of two wheels of different sizes with an axle through their centers
2
Replies
67
Views
4K
Forces on particle in complex motion relative to ground observer
Replies
20
Views
1K
Circular Motion Problem: Particle Velocity and Acceleration Calculation
Replies
18
Views
2K
Brownian Ratchet (exercise framed by Feynman's Lectures, l. 46)
Replies
32
Views
2K
Angular Momentum of a Moving Particle
Replies
2
Views
2K
Mass, acceleration and velocity
Replies
3
Views
2K
Riding a bicycle around a tree w/ constant acceleration
Replies
20
Views
2K
A particle P2 chases particle P1 with constant speed.
Replies
6
Views
3K
Reaction on the particle in terms of angular velocity
Replies
32
Views
3K
Frictional force between two rotating cylinders
Replies
11
Views
2K

Hot Threads

Recent Insights

Back
Top