Answer to Question #82927 in Physics for Osho Janet Oluwatimilehin

Question

A body of mass 6kg rest on an inclined plane.the normal reaction is R and the limiting frictional force is f.if f is 30N and g is 10ms-².what is the angle of inclination.

Answer 1

The Newton’s second law gives

R+f+mg=0

In projection on the x-axis

f-mg sin⁡θ=0

So

sin⁡θ=f/mg=30/(6×10)=1/2

θ=30°