Formula to calculate angle of static friction

Q. Which formula is used to calculate angle of static friction (Φ_s)?
- Published on 18 Sep 15

a. tan^-1 μ_s

b. sin^-1 μ_s

c. cos^-1 μ_s

d. none of the above

ANSWER: tan^-1 μ_s

Sravanthi -Posted on 16 Dec 15
- In impending motion, the angle between normal reaction and resultant reaction is known as angle of static friction.

- In the diagram shown,

tan Φ_s = (Frictional force) / (Normal reaction)

But coefficient of static friction (μ_s) = (Frictional force) / (Normal reaction)

tan Φ_s = (μ_s)

Therefore, Φ_s = tan-1 (μ_s)

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