# Find Coefficient of Friction: Grindstone Problem

• Arielf04
In summary, the conversation discusses the use of rotational dynamics and kinematic equations to solve a problem involving a rotating grindstone and an ax. The information provided includes the dimensions and mass of the grindstone, the normal force exerted by the ax, and the time it takes for the grindstone to come to rest. The ultimate goal is to find the coefficient of friction between the ax and the grindstone. The equation K=1/2 (Icm) W^2 is mentioned as a possible solution, but the conversation ends without reaching a definitive answer.
Arielf04
Please give me a hint on what should I follow in order to solve the problem I am stuck and have no clue

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.

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?

## 1. What is the coefficient of friction in the grindstone problem?

The coefficient of friction in the grindstone problem refers to the ratio of the force needed to move an object across a surface to the force pressing the two surfaces together. In this problem, it is used to calculate the amount of force needed to move a grindstone given its weight and the angle of the surface it is resting on.

## 2. How is the coefficient of friction calculated in the grindstone problem?

The coefficient of friction can be calculated by dividing the force needed to move the grindstone by the weight of the grindstone. This can be done by conducting experiments with different weights and angles or by using formulas based on the materials and surfaces involved.

## 3. What factors affect the coefficient of friction in the grindstone problem?

The coefficient of friction can be affected by various factors such as the type of material the grindstone is made of, the texture and condition of the surface it is resting on, and the weight and shape of the grindstone itself. Other factors may include the presence of lubricants or contaminants on the surface, and the speed at which the grindstone is moved.

## 4. Can the coefficient of friction vary in the grindstone problem?

Yes, the coefficient of friction can vary in the grindstone problem depending on the factors mentioned above. It is not a constant value and can change depending on the specific conditions of the experiment or problem being solved.

## 5. Why is knowing the coefficient of friction important in the grindstone problem?

Knowing the coefficient of friction is important in the grindstone problem because it helps determine the amount of force needed to move the grindstone and the potential for it to slip or slide on the surface. This information is crucial in industries where grinding and cutting tools are used, as it ensures that the correct amount of force is applied to achieve the desired result and prevent accidents or damage to equipment.

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