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

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Homework Help Overview

The problem involves a disk of radius R centered at the origin on a frictionless x-y plane. The disk is initially set in motion, and the task is to find the coordinates of a specific point A on the disk after a given time, t = 4piR/v, based on its initial velocity and angular velocity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss expressing the motion of point A in relation to the center of mass velocity and angular velocity. There are attempts to relate the initial conditions of point A's velocity to the motion of the disk's center.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to relate the motion of point A to the disk's center and angular velocity. Some guidance has been offered regarding starting from angular velocity to calculate the motion of point A.

Contextual Notes

Participants are navigating the relationship between the initial velocity of point A and the center of mass velocity, indicating potential constraints in the problem setup or assumptions about motion.

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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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