In physics lab, you are measuring the period of a vertically hung spring-ball system in which the

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In physics lab, you are measuring the period of a vertically hung spring-ball system in which the mass of the ball is \(0.50 \mathrm{~kg}\). As the system oscillates up and down, it also swings from side to side, a motion that interferes with your measurements of the vertical motion. After running several trials and calculating the period for the system set up this way, you decide to eliminate the side-to-side motion by rigging up the spring horizontally with a string draped over a pulley of radius \(0.035 \mathrm{~m}\), as in Figure P15.90. With this arrangement, your measured period is \(10 \%\) greater than the value you measured for the vertically hung system. Realizing an opportunity for extra credit, you wonder if the rotational inertia of the pulley is buried in your data.

Data from Figure P15.90

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