Question

The box is at a ramp tilted an angle theta degrees from the horizontal. Assume that the mass of the box is 500kg and the coef

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Answer #1

Sum of forces normal to inclined surface = 0

Normal reaction - W cos θ = 0

Normal reaction = 500 cos θ

Sum of forces along inclined surface = 0

Friction Force - 500 sin θ = 0

Friction Force = 500 sin θ

But

Friction Force = coefficient of friction x Normal force

Friction Force = 0.3 x 500 cos θ

500 sin θ = 0.3 x 500 cos θ

sin θ/cos θ = 0.3 x 500/500

tan θ = 0.3

θ = tan-1(0.3)

θ = 16.6990

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