Find Coefficient of Friction: Grindstone Problem

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To find the coefficient of friction in the grindstone problem, one must apply principles of rotational dynamics and kinematics. The grindstone, a solid disk, has a defined mass and diameter, and it decelerates to rest under a normal force applied by the ax. The kinetic energy equation, K = 1/2 M(Vcm)^2 + 1/2 (Icm) W^2, is relevant, particularly since the center of mass is stationary. The focus should be on relating the torque caused by friction to the angular deceleration of the grindstone. Understanding these dynamics will lead to calculating the coefficient of friction effectively.
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Please give me a hint on what should I follow in order to solve the problem I am stuck and have no clue :confused:

A grindstone in the shape of a solid disk with diameter 0.530 and a mass of = 50.0 is rotating at = 830 . You press an ax against the rim with a normal force of = 260 , and the grindstone comes to rest in 7.80 .

Find Coefficient of friction between the axe and the grinding stone.
 
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Do you know any rotational dynamics, specifically kinematic equations of such?
 
Well this is what I know

K= 1/2 M(Vcm)^2 + 1/2 (Icm) W^2

Since the center of mass is not moving then?

K=1/2 (Icm) W^2?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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