Find the acceleration of the yo-yo

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SUMMARY

The discussion focuses on calculating the acceleration of a yo-yo consisting of two solid disks and a massless rod. The user has successfully determined the moments of inertia but struggles with deriving angular acceleration (alpha) from the torque equations. The specific parameters include a yo-yo mass of 0.24 kg, a radius of 11.5 cm for the disks, and a 1.00 cm radius for the rod. The goal is to find both the linear acceleration of the yo-yo and the tension in the string.

PREREQUISITES
  • Understanding of rotational dynamics and torque equations
  • Familiarity with moments of inertia for solid disks and rods
  • Knowledge of Newton's second law for both linear and angular motion
  • Basic principles of rigid body motion
NEXT STEPS
  • Calculate angular acceleration using the torque equation: τ = Iα
  • Determine the net force acting on the yo-yo to find linear acceleration
  • Explore the relationship between linear acceleration and angular acceleration for rolling objects
  • Review examples of similar problems involving yo-yos or rolling objects in physics
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to rotational motion and dynamics.

wildrjetta
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I have calculated the moments of inertia for both the solid disk and the rod, but am getting stuck on how to solve for alpha in the torque equations so that I get acceleration. Can anyone shed some light on this question for me? I really appreciate it.
Here is the question I seem to be struggling with:
A 0.24kg yo-yo consists of two solid disks of radius 11.5cm joined together by a massless rod of radium 1.00cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released. Find the acceleration of the yo-yo and the tention T.
 
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i am still stuck on this problem...can anyone help?
 
wildrjetta said:
i am still stuck on this problem...can anyone help?

The in-plane motion of a rigid body consist of a translation of its centre of mass and a rotation around the axis through the center of mass. The linear acceleration is proportional to the net force. The angular acceleration of the rotation is proportional to the net torque. Can you proceed from here?


ehild
 

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