Angular acceleration, rigid body

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SUMMARY

The discussion focuses on calculating the angular acceleration of a circular disk and the tension in rope OB after rope ED snaps. The disk, characterized as a rigid body, experiences uniform angular acceleration across all points. Key relationships involve torque, moment of inertia, and the forces acting on the disk, which are crucial for solving the problem. The participants emphasize the need for a clear connection between the forces and the resulting angular acceleration.

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  • Understanding of rigid body dynamics
  • Familiarity with torque and moment of inertia
  • Knowledge of angular acceleration concepts
  • Basic principles of forces acting on objects
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usn7564
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Homework Statement


A circular disk with the mass m and radius r is hanging from two ropes with length l when suddenly the rope ED snaps. For this moment, find:

a, The angular acceleration for the rope OB, the angular acceleration for the disk
b, The force T acting in OB


The Attempt at a Solution


Or lack thereof, really don't know how to approach this without a given ω. I can find some relations between the accelerations at different points but ultimately I'm sitting with a lot of unknowns.
Frankly don't know how to connect the force acting on the disk to any general acceleration.
 

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You know the angular speed at the instant when rope ED snaps: the disks is in rest.
The disk is a rigid body: all points have the same angular acceleration and angular velocity. How is the angular acceleration of a rigid body related to other quantities - torque and moment of inertia? ehild
 
usn7564 said:
I can find some relations between the accelerations at different points
So post them.
What forces act on the disk?
 

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