Question

A force of 2000N pulls a load at angle of 60 degrees with the horizontal. calculate the coefficient of static friction​

Answer 1

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