otion 17 A cyclist is moving with a speed of 18km/h on a plane road. He turns the bicycle on the cir radius 3m. The coefficient of

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17 A cyclist is moving with a speed of 18km/h on a plane road. He turns the bicycle on the cir
radius 3m. The coefficient of friction between the tyres and road is 0.1. Will he skid or not?​

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Mộc Miên 3 years 2021-08-26T11:24:37+00:00 1 Answers 14 views 0

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  1. Xavia
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    2021-08-26T11:26:04+00:00
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    Answer:

    SKID

    Explanation:

    In general, airplane tracks are flat, they do not have cant, consequently the friction force is what keeps the bicycle in the circle.

    Let’s use Newton’s second law, let’s set a reference frame with the horizontal x-axis and the vertical y-axis.

    Y axis y

         N- W = 0

         N = W

    X axis (radial)

            fr = m a

    the acceleration in the curve is centripetal

             a = \frac{v^2}{r}

    the friction force has the expression

            fr = μ N

    we substitute

           μ mg = m v²/r

           v = \sqrt{\mu g r}

    we calculate

          v = \sqrt{0.1 \ 9.8 \ 3}

          v = 1,715 m / s

    to compare with the cyclist’s speed let’s reduce to the SI system

            v₀ = 18 km / h (1000 m / 1 km) (1 h / 3600 s) = 5 m / s

    We can see that the speed that the cyclist is carrying is greater than the speed that the curve can take, therefore the cyclist will SKID

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