What is the coefficient of static friction between a coin and a tilted book?

In summary, the problem involves a coin on a tilted book, with an increase in angle causing the coin to slide down. The goal is to find the coefficient of static friction between the coin and the book using the equations F=ma and f = μN.
  • #1
idkgirl
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Homework Statement



A coin of mass m is at rest on a book that has been tilted at an angle θ with the horizontal. By experimenting, you find that when θ is increased to 13o, the coin is on the verge of sliding down the book, which means that even a slight increase beyond 13o produces sliding. What is the coefficient of static friction μs between the coin and the book?

Homework Equations



F=ma, f(static friction) = (μ)*normal force

The Attempt at a Solution



I drew out the problem, but from here I am sort of lost.
 
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  • #2
The weight of the coin is a force downwards, right? Rewrite that force as the sum of a force perpendicular (normal) to the surface of the book and parallel to the surface of the book. The parallel force is trying to make the coin slide; it's opposed by the force of friction, which is related to the normal force.
 

Related to What is the coefficient of static friction between a coin and a tilted book?

1. What is a coefficient?

A coefficient is a numerical value that represents the degree of association between two variables in a mathematical or statistical model. It can also be thought of as the slope of a line in a graph.

2. How do you find the coefficient in a regression model?

In a regression model, the coefficient can be found by dividing the covariance between the two variables by the variance of the independent variable. It can also be calculated using statistical software or by hand using the least squares method.

3. What is the significance of a coefficient?

The significance of a coefficient indicates the strength and direction of the relationship between the two variables. A positive coefficient indicates a positive relationship, while a negative coefficient indicates a negative relationship. The magnitude of the coefficient also reflects the strength of the relationship.

4. What is the difference between a correlation coefficient and a regression coefficient?

A correlation coefficient measures the strength and direction of the linear relationship between two variables, while a regression coefficient measures the change in the dependent variable for a unit change in the independent variable. In other words, a correlation coefficient describes the relationship between two variables, while a regression coefficient describes the effect of one variable on another.

5. Can a coefficient be interpreted as a causal relationship?

A coefficient alone cannot be interpreted as a causal relationship between two variables. It only indicates the strength of the association between the variables. In order to establish causation, other factors such as experimental design and control must be considered.

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