Calculating Forces, Moments, and Angular Speed in a Rotational System

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Homework Help Overview

The discussion revolves around a problem in rotational dynamics involving a mass attached to a cord wrapped around a wheel. The scenario includes a mass on an incline, with specific parameters such as mass, radius of the wheel, and acceleration provided. Participants are exploring how to set up the problem to calculate forces, moments, and angular speed.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to clarify the setup of the problem, including the need for additional information such as the incline's slope and whether the mass is sliding down the incline. There are questions about the relationship between the mass and the wheel, as well as suggestions to create a free body diagram (FBD) for better understanding.

Discussion Status

The discussion is ongoing, with participants seeking to clarify the problem's parameters and assumptions. Some guidance has been offered regarding the need for a free body diagram and additional details about the incline.

Contextual Notes

There is a noted absence of a diagram and specific details about the incline, which may affect the analysis. The problem is framed within the constraints of a homework assignment, implying a need for careful consideration of the given information.

Rebel_Yell
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Can someone help me set this up? Please?

A 12 kg mass is attached to a cord that is wrapped around a wheel with a radius of 10 cm. The acceleration of the mass down the frictionless incline is measured to be 2 m/s^2. Assuming the axle of the wheel to be frictionless, determine: a) the force in the rope, b) the moment of inertia of the wheel, and c) the angular speed of the wheel 2 s after it begins rotating, starting from rest.

I'll take any help that I can get, and I really appreciate anyone helping me out. Thank you.
 
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I'm pretty sure you might need the slope of the incline for this problem.
 
I forgot to add that in the problem. There is a 37 degree incline.
 
Do you have a picture? Is the mass sliding down the incline? Is the wheel the 12 kg mass?
 
Rebel,

Where are you having problems? Can you draw a FBD?
 

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