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27 November, 22:40

Determine the normal force for a laundry basket with a mass of 4.8 kg in each of the following situations (a) at rest on a horizontal surface N (b) at rest on a ramp inclined at 12° above the horizontal N (c) at rest on a ramp inclined at 25° above the horizontal N (d) at rest on a ramp inclined at 45° above the horizontal N

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  1. 27 November, 22:51
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    (a) 47.04 N

    (b) 46 N

    (c) 42.63 N

    (d) 33.26 N

    Explanation:

    mass of basket, m = 4.8 kg

    (a) Normal force, N = mg = 4.8 x 9.8 = 47.04 newton

    (b) Inclination of inclined plane, θ = 12°

    Normal force, N = mg cosθ = 4.8 x 9.8 x Cos 12 = 46 Newton

    (c) Inclination of inclined plane, θ = 25°

    Normal force, N = mg cosθ = 4.8 x 9.8 x Cos 25 = 42.63 Newton

    (d) Inclination of inclined plane, θ = 45°

    Normal force, N = mg cosθ = 4.8 x 9.8 x Cos 45 = 33.26 Newton
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