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20 March, 20:04

A 50 Kg box sits at rest on a 30 degree ramp where the coef of static friction is 0.5773. How hard would you have to push horizontally to get the box to start to move up the ramp?

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  1. 20 March, 20:29
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    Given data

    m = 50 Kg

    Weight (W) = 50*9.81 = 490.5 N

    Coefficient of friction (μs) = 0.5773

    Angle of ramp = 30 degrees

    Determine the horizontal push (P) = ?

    P cos Θ = W sin Θ + μs P sin Θ + μs W cos Θ

    P (cos Θ - μs sin Θ) = W (sin Θ + μs cos Θ)

    P = W (sin Θ + μs cos Θ) / (cos Θ - μs sin Θ)

    P = 841.58 N

    Harizontal push is required = 841.58
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