Particle Uniform circular motion problem

AI Thread Summary
A particle is moving in uniform circular motion, with specific coordinates and velocities at two different times. At t1 = 3.30 s, the particle is at (5.10 m, 6.80 m) with a velocity in the positive y direction, while at t2 = 9.90 s, it has a velocity in the negative x direction. The discussion focuses on determining the center of the circular path based on these points, noting the particle's positions in relation to the circle's center located in quadrant 1. Participants express difficulty in visualizing the problem and sharing diagrams to aid understanding. The conversation emphasizes the importance of accurately plotting the particle's motion to solve for the center coordinates.
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Homework Statement


A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.30 s, it is at point (5.10 m, 6.80 m) with velocity (3.90 m/s) ## \hat j ##and acceleration in the positive x direction. At time t2 = 9.90 s, it has velocity (–3.90 m/s) ## \hat i ##and acceleration in the positive y direction. What are the (a) x and (b) y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit.

Homework Equations


a=v2/r

The Attempt at a Solution


im having trouble getting started on this one. if only drawn a diagram with the particles plotted along the orbit and their tangential velocity vectors
the point at t=3.30s is on the very left of the orbit and the point at t=9.90s is on the very bottom of the orbit.
the center point of the circle is in quadrant 1

https://www.dropbox.com/s/x36hlpj0btsrl9u/20150622_205717.jpg?dl=0
 
Last edited:
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And you don't care to share your drawing here because ... ?
 
phinds said:
And you don't care to share your drawing here because ... ?

added a link to my sketch, not sure how to insert that as an image on here.
 
anyone have any ideas how to get this problem going? I am trying to find t first but no luck
 
https://photos-1.dropbox.com/t/2/AACGiRWI3VnMU6pGc_dHKBaqChMthL4b3OjGjbIWmGkYHA/12/424149441/jpeg/32x32/1/1435046400/0/2/20150622_205717.jpg/CMGDoMoBIAEgAiADIAQgBSAGIAcoAg/9Z_NSs16LlnutIe8w5k1a-Inu6pHLS32aoGOxFwQbXg?size_mode=5

View the image. Then copy that image you're viewing. Then paste it here.

It is quite difficult to read.
 
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Thread 'Collision of a bullet on a rod-string system: query'

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...
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