Answer:
√3
Step-by-step explanation:
From the formula used in calculating Friction, we have:
Frictional Force = coefficient of Friction × Reaction
i.e Fr = μ × R
Resolving Frictional Force and Reaction of a body moving with on an Inclined plane,
Frictional Force = mass × g × sin a
where a = to the angle given
Reaction = mass × g × cos a
Therefore,
mass × g × sin a = μ × mass × g × cos a
mass and g cancels out on both sides.
Therefore,
sin a = μ × cos a
make "μ" subject.
μ = sin a/cos a
(recall: tan a = sin a /cos a)
μ = tan a
recall a = angle given = 60°
μ = tan 60°
μ = √3
or simply recall that
μ = tan a
μ = tan 60°
μ = √3
