Analyzing the Motion of a Released Yoyo: Calculating Acceleration and Tension

[thesandalman]

Homework Statement

A yoyo with a mass of m = 179 g is released from rest as shown in the figure.

https://s6.lite.msu.edu/res/msu/nagytibo/Mechanics/Rotation/Graphics/001a.gif"

The inner radius of the yoyo is r = 2.60 cm, and the outer radius is R = 3.60 cm, and the moment of inertia about the axis perpendicular to the plane of the yoyo and passing through the center of mass is ICM = 9.70×10-5 kgm2.
1.Determine the linear acceleration of the yoyo.
2. Determine the angular acceleration of the yoyo.
3.What is the weight of the yoyo?
4.What is the tension in the rope?
5.If a 1.04 m long section of the rope unwinds from the yoyo, then what will be the angular speed of the yoyo?

Homework Equations

These are the equations I believe to be correct. However, they are not working out.
1) a = g*[1 - I/(mr²+I)]
2) α = a/r
3) W = m*g
4) T = g*I*m/(mr²+I)
5) w = v/r = √(2ay)/r

The Attempt at a Solution

 

[kuruman]

The figure is not accessible to us. Also, please show how you got the equations that you believe to be correct, then we might be able to point out where you went wrong.