How do you calculate tension and moment of inertia from given information?

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SUMMARY

The discussion focuses on calculating the tension in a rope and the moment of inertia of a wheel in a physics problem involving a mass on a frictionless incline. Given a mass of 11.9 kg, a wheel radius of 12.3 cm, an acceleration of 1.91 m/s², and an incline angle of 33.1°, the correct formula for tension involves torque rather than direct multiplication. The moment of inertia can be derived using the relationship between torque, tension, and angular acceleration.

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  • Understanding of Newton's second law of motion
  • Familiarity with rotational dynamics concepts
  • Knowledge of torque and its calculation
  • Basic trigonometry for resolving forces
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  • Learn how to apply Newton's second law to rotational systems
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Physics students, mechanical engineers, and anyone studying dynamics and rotational motion principles.

mspaic
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Hey
I am doing some reading on inertia and stuff and am having problems with these questions:

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An m = 11.9 kg mass is attached to a cord that is wrapped around a wheel of radius r = 12.3 cm

The acceleration of the mass down the frictionless incline is measured to be a = 1.91 m/s2. Assuming the axle of the wheel to be frictionless, and the angle to be θ = 33.1°
a)determine the tension in the rope.
--
b)Determine the moment of inertia of the wheel.
---



ok for a i did :
T=cos angle *m*a but that doesn't give me the right answer..
 
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ok i got a
i gues they wanted torque
 
anyone know how to calculate the moment of inertia from the information given
 
Last edited:

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