A force of x Newtons is applied at an angle of x degrees above the horizontal to

a mass of x kg which sits on an incline of angle x degrees. The coefficient

of friction between the mass and the incline is x. For a sufficient applied force so

that the mass moves upward , the net force is given by the expression


F_net = F * cos(α + β) - m * g * sin(β) - u * N


Note:

F_net = net force

F = applied force

α = angle of the applied force

β = angle that the mass sits on

m = mass

g = gravity

u = coefficient of friction between the mass and the incline

N = normal force of the object



Determine the expression to find the angle of the applied force (α).


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