Question

show the coefficient of static friction equal to 10 theta where theta equal to angle of friction​

Answer 1

Answer:

I set the angle of incline as my independent variable and had an angle range from 10 to 37.5 degrees. After setting the slope to different angles, I measured the extra force required to cause the wooden block to begin to move on the slope. I did this by connecting a string to the wooden block and to a container that could be filled with sand (using a pulley to connect them).

μ = (mg sin(θ) + Mg)/(mg cos (θ)) where m is the mass of the wooden block and M is the mass of the handing container and sand. This simplifies down to μ = tanθ + M/(m cosθ) However, it is also known that μ = tanθ Equating the two equations we get tanθ + M/(m cosθ) = tanθ, which is impossible. Can anyone explain what I've down wrong here?

The Attempt at a Solution I tried manipulating the equation, M/(m cosθ) = μ - tanθ => M = μmcosθ - msinθ => M = m(μcosθ - sinθ) Ultimately, I aim to draw a graph which shows μ = tanθ, however, with the values I obtained so far, no such graph can be drawn.

Explanation:

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