If the coefficient of friction of a surface is μ = √3, then the angle of inclination of a plane to make a block on it to just start sliding isA.30oB.45oC.60oD.90o
Question
If the coefficient of friction of a surface is μ = √3, then the angle of inclination of a plane to make a block on it to just start sliding isA.30oB.45oC.60oD.90o
Solution
The angle of inclination (θ) of a plane can be found using the formula for the coefficient of friction (μ), which is tan(θ) = μ.
Given that the coefficient of friction (μ) is √3, you can set up the equation as follows:
tan(θ) = √3
To find the angle θ, you need to find the arctangent (or inverse tangent) of √3.
The arctangent of √3 is approximately 60 degrees.
Therefore, the angle of inclination of a plane to make a block on it to just start sliding is 60 degrees (Option C).
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