How Do You Calculate the Moment of Inertia of a Spinning Disc with Added Mass?

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Homework Help Overview

The problem involves calculating the moment of inertia of a spinning disc that has a piece of putty added to it. The disc's initial angular speed and the change in speed after the putty is added are provided, along with additional questions regarding forces and rotational energy.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the conservation of angular momentum as a potential approach to find the moment of inertia. There are questions about what quantities are conserved when the putty sticks to the disc.

Discussion Status

The discussion is ongoing, with participants exploring the implications of conservation laws and questioning the assumptions related to the system's behavior when the putty is added. No consensus has been reached yet.

Contextual Notes

Participants note the absence of external torques and the specific conditions under which the calculations are to be made, including the time frame for understanding the concepts involved.

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Homework Statement



A) a horizontal disc of diameter 12.0cm is spinning freely about a vertical axis through its centre at an angular speed of 72 revolutions per minute. a piece of putty of mass 5.0g drops onto and sticks to the disc at a distance of 4.0cm from the centre. The angular speed reduces to 60 revolutions per minute. calculate the moment of inertia of the disc. No external torques are applied to the system during this process.

B) A constant tangential force is now applied to the rim of the disc which brings the disc to rest in 6.0 s. Calculate the magnitude of this force.

C) calculate the rotational energy of the system before and after the putty is added to the disc. comment on your answer.
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Homework Equations





The Attempt at a Solution



HELP! GOT TILL SATURDAY TO UNDERSTAND IT!
 
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No attempt? No thoughts?

Is anything conserved when the putty sticks to the disk?
 
momentum?
 
ems1312 said:
momentum?

specifically angular momentum. Can you apply the law of conservation of momentum to find the moment of inertia of the disk?
 

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