Disk on a Motion: Find the Coordinates of Point A at t= 4piR/v

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To find the coordinates of Point A on a disk after a specified time, the initial conditions include a radius R, an initial velocity v in the positive x-direction, and an angular velocity ω equal to v/2R. The motion of Point A can be expressed as a function of the center's velocity and ω. The discussion emphasizes the need to relate the motion of Point A to these variables for accurate calculations. Participants suggest starting with ω to simplify the problem. The goal is to derive the correct coordinates of Point A at t = 4piR/v.
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Homework Statement



Adisk of radius R centred at the origin is placed on a frictionless x-y plane with origin as the centre of the disk.At t=0, the disk is given initial motion such that the point A(R,0) has velocity v towards
+ve x-axis and ω=v/2R. Find the coordinates of Point A at t= 4piR/v

Homework Equations



∅=ωt..That's all i think is needed

The Attempt at a Solution


i used but i am getting a wrong answer help!
 
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Can you express the motion of A as functtion of the velocity of the center and ω?
Based on that, can you calculate this velocity and ω?
 
That's the problem..The velocity of A at t=0 is given..How can i relate to the centre of mass velocity..
 
I proposed to start with the other direction (use w,ω for the center and calculate the motion of A as function of those variables) for a good reason - it is easier.
Did you try to calculate it?
 

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