calculate the angle of repose of an inclined plane when coefficient of friction is 0.6
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I assume that you have an object of mass m on an inclined plane of angle θ.
The force straight down is F = mg
The force parallel to the plane is Fp = mgSinθ and the force normal to the plane Fn = mgCosθ
The coefficient of friction is defined as μ = Fp/Fn
So μ =mgSinθ/mgCosθ = Tanθ
Now the question states that μ = 0.6, so Tanθ = 0.6
Then θ = Tan^-1(0.6) = 30.96°
So the plane is inclined at 30.96°
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The force straight down is F = mg
The force parallel to the plane is Fp = mgSinθ and the force normal to the plane Fn = mgCosθ
The coefficient of friction is defined as μ = Fp/Fn
So μ =mgSinθ/mgCosθ = Tanθ
Now the question states that μ = 0.6, so Tanθ = 0.6
Then θ = Tan^-1(0.6) = 30.96°
So the plane is inclined at 30.96°
PLS MARK ME AS BRAINLIEST
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Answer:
30.96° .
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