The coefficient of friction is 0.39
Explanation:
The equation of the forces along the direction parallel to the incline is the following:
(1)
where
is the component of the weight parallel to the incline (acting downward), with
m = 50 kg being the mass of the couch
(acceleration of gravity)
is the angle of the ramp
is the force of friction, acting up along the plane, with
being the coefficient of friction
N is the normal force
is the acceleration
The equation of the forces along the direction perpendicular to the plane is
(2)
where is the component of the weight perpendicular to the plane
From (2) we find
And substituting into (1)
And solving for , we find
Learn more about inclined planes:
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