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16 October, 14:54

Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). The smaller flywheel of radius 30 cm has a cord that has a pulling force of 50 N on it. What pulling force needs to be applied to the cord connecting the larger flywheel of radius 50 cm such that the combination does not rotate?

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  1. 16 October, 16:57
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    Torque on smaller wheel

    = F x r

    50 x. 30

    = 15 Nm

    Torque on larger wheel

    = F x. 5

    For equilibrium

    F x. 5 = 15

    F = 15 /.5

    = 30 N
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