Angular acceleration, rigid body

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The discussion revolves around calculating the angular acceleration of a circular disk and the tension in rope OB after rope ED snaps. Participants express difficulty in approaching the problem due to the lack of given angular velocity (ω) and the presence of multiple unknowns. Key concepts highlighted include the relationship between angular acceleration, torque, and moment of inertia for rigid bodies. The need for identifying the forces acting on the disk is emphasized to establish connections between the forces and the resulting accelerations. Overall, the conversation focuses on the fundamental principles of dynamics in rigid body motion.
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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?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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