A box slides down an inclined plane with an acceleration that is precisely two-thirds what it would have been if the slide had been frictionless. Calculate the angle of the incline if the coefficient of kinetic friction of the rough incline is 0.29

I know I have to use equations
g(sin(x)-ucos(x)) / gsin(x) and
(1-u)/tan(x)
and tan(x) = 3u/2
and I know how to do it if the acceleration was precisely one-third, but for some reason I'm messing up two-thirds.

1 answer

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