Cylinder A has a mass of 2kg and cylinder B has a mass of 10kg. Determinethe velocity of A after it has displaced 2m from its original start

Question

Cylinder A has a mass of 2kg and cylinder B has a mass of 10kg. Determinethe velocity of A after it has displaced 2m from its original starting position. Neglect the mass of the cable and pulleys and assume that both cylinders start at res

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Dâu 4 years 2021-09-03T06:57:20+00:00 1 Answers 11 views 0

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  1. ngockhue
    0
    2021-09-03T06:59:07+00:00
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    The velocity of A is 5.16m/s²

    Explanation:

    Given-

    mass of cylinder A, mₐ = 2kg

    mass of cylinder B, mb = 10kg

    Distance, s = 2m

    Velocity of A, v = ?

    Let acceleration due to gravity, g = 10m/s²

    We know,

    a = \frac{mb * g - ma * g}{ma + mb} \\\\a = \frac{10 * 10 - 2 * 10}{ 2 + 10} \\\\a = \frac{80}{12} \\\\a = 6.67m/s^2

    We know,

    v = \sqrt{2as}

    v = \sqrt{2 X 6.67 X 2} \\\\v = \sqrt{26.68} \\\\v = 5.16m/s^2

    Therefore, the velocity of A is 5.16m/s²

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