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20 October, 09:34

A wood block, after being given a starting push, slides down a ramp at a constant speed. what is the angle of the ramp above horizontal? suppose that μk = 0.35.

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  1. 20 October, 10:03
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    The solution for the problem is:

    Constant speed means Fnet = 0.

    Let m = mass of wood block and Θ = angle of ramp; then if µk = 0.35 ...

    The computation would be:

    Fnet = 0 = mg (sin Θ) - (µk) (mg) (cos Θ)

    mg (sin Θ) = µk (mg) (cos Θ)

    µk = tan Θ

    Θ = arctan (µk)

    = arctan (0.35)

    ≈ 19.3°
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