Mass on a Wheel: Solve for Displacement After 100ms

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SUMMARY

The discussion focuses on calculating the vertical displacement of a mass placed on a frictionless vertical wheel after 100 milliseconds. The scenario involves a 1 kg mass at the edge of a 1 m radius wheel, which accelerates due to torque when released. Participants highlight the challenge of nonlinear acceleration in this context, emphasizing the need for a correct approach to the problem rather than assuming constant acceleration.

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  • Familiarity with concepts of angular velocity and angular acceleration
  • Basic principles of physics related to mass and radius in rotational systems
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  • Study the equations of motion for rotational dynamics
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Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators looking for problem-solving strategies in kinematics.

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Homework Statement



All masses and radiuses given. (lets say 1m and 1kg for all)
A vertical wheel is free to spin without friction. Mass placed at the edge of the wheel (ie level with the centre) and is released, causing it to accelerate due to torque:

O'question asks what the vertical displacement of the point mass is after 100 milliseconds.

Homework Equations



I'm having trouble with nonlinear acceleration?
Anyone point me in the right direction?

The Attempt at a Solution



I tried assuming constant acceleration but that's not right.****EDIT: Misread question*****
I'll leave it up anyway
 
Last edited:
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So did you solve it or still need help?
 

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