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

[BBAI BBAI]

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!

 

[mfb]

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?

 

[BBAI BBAI]

That's the problem..The velocity of A at t=0 is given..How can i relate to the centre of mass velocity..

 

[mfb]

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?