Solveeit Logo
Login

Question

Question: A body takes just twice the time as long to slide down a plane inclined at 30<sup>o</sup> to the hor...

A body takes just twice the time as long to slide down a plane inclined at 30o to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is

A

34\frac{\sqrt{3}}{4}

B

3\sqrt{3}

C

43\frac{4}{3}

D

34\frac{3}{4}

Answer

34\frac{\sqrt{3}}{4}

Explanation

Solution

μ=tan⁡θ(1−1n2)=tan⁡30(1−122)=34\mu = \tan\theta\left( 1 - \frac{1}{n^{2}} \right) = \tan 30\left( 1 - \frac{1}{2^{2}} \right) = \frac{\sqrt{3}}{4}