Prove that the coefficient of static friction is tangent of the angle of repose
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This is for the situation as in the video when there is no extra force involved !
Ok, so your μ = tanθ + M/(m cosθ) has the right sign and you have a set of observations of M as a function of θ . You can investigate if μ depends on θ .
(*). But if you want to show that μ = tan θ μ=tanθ directly, you'll have to find a way to vary μ μ and work with M = 0.
(*) μ = tan θ μ=tanθ doesn't mean that μ μ varies with θ θ; it means that the angle at which sliding is about to start has a tangent with a value that is equal to μ.
Ok, so your μ = tanθ + M/(m cosθ) has the right sign and you have a set of observations of M as a function of θ . You can investigate if μ depends on θ .
(*). But if you want to show that μ = tan θ μ=tanθ directly, you'll have to find a way to vary μ μ and work with M = 0.
(*) μ = tan θ μ=tanθ doesn't mean that μ μ varies with θ θ; it means that the angle at which sliding is about to start has a tangent with a value that is equal to μ.
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