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16 April, 07:26

Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). The smaller flywheel of radius 18 cm has a cord that has a pulling force of 50 N on it. What pulling force (in N) needs to be applied to the cord connecting the larger flywheel of radius 29 cm such that the combination does not rotate?

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  1. 16 April, 11:02
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    Given that,

    Small wheel applied force

    F₁ = 50N

    Small wheel radius

    r₁ = 18cm

    Bigger wheel radius.

    r₂ = 29cm

    Bigger wheel applied force

    F₂ = ?

    Since the combination of those forces did not cause the wheel to rotate,

    Then, Στ = 0

    F₁•r₁ - F₂•r₂ =

    50*18 - 29F₂ = 0

    900 = 29F₂

    F₂ = 900 / 29

    F₂ = 31.03 N

    The pulling force applied at the larger wheel is 31.03N
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