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13 February, 14:34

A 1.60-m-long barbell has a 25.0 kg weight on its left end and a 37.0 kg weight on its right end. you may want to review (pages 204 - 205). part a if you ignore the weight of the bar itself, how far from the left end of the barbell is the center of gravity

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  1. 13 February, 14:37
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    Refer to the diagram shown below.

    The weight at the left end is

    W₁ = (25.0 kg) * (9.8 m/s²) = 245 N

    The weight at the right end is

    W₂ = (37.0 kg) * (9.8 m/s²) = 362.6 N

    The reaction at the fulcrum is

    R = W₁ + W₂

    Let x = distance of the fulcrum (c. g.) from the left end.

    For equilibrium, take moments about the center of gravity (c. g).

    (245 N) * (x m) - (362.6 N) * (1.6-x m) = 0

    245x - 580.16 + 362.6x = 0

    607.6x = 580.16

    x = 0.955 m

    Answer: 0.955 m
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