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3 February, 15:09

A cylindrical fishing reel has a mass of 0.634 kg and a radius of 3.9 cm. A friction clutch in the reel exerts a restraining torque of 1.52 N · m if a fish pulls on the line. The fish - erman gets a bite, and the reel begins to spin with an angular acceleration of 54 rad/s 2. What force does the fish exert on the line?

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  1. 3 February, 15:25
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    Given:

    Mass, m = 0.634 kg

    Radius, r = 3.9 cm

    = 0.039 m

    Torque, Trest = 1.52 Nm

    Angular acceleration, α = 54 rad/s^2

    Torque, T = I * α

    Where,

    I = moment of inertia

    Moment of inertia of a solid cylinder, I = 1/2 * m * r^2

    Net torque = summation of all the total torque around the reel

    Tfish = Trest + Treel

    F * r = Trest + I * α

    Inputting values,

    0.039F = 1.52 + ((1/2 * 0.634 * (0.039) ^2)) * 54)

    = 1.52 + 0.026

    = 1.546

    Solving for Force, F,

    F = 1.546/0.039

    = 39.64 N

    = 39.6 N.
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