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Question
yung hangs a mass from a rod, sets the pendulum in simple harmonic motion, and determines the period of the pendulum. how could yung decrease the period of the pendulum? he could use a smaller mass. he could use a longer rod. he could use a larger mass. he could use a shorter rod.
The period \( T \) of a simple pendulum is given by the formula \( T = 2\pi\sqrt{\frac{l}{g}} \), where \( l \) is the length of the pendulum (rod) and \( g \) is the acceleration due to gravity. The mass of the pendulum bob does not affect the period. To decrease the period, we need to decrease the length \( l \) (since \( T \) is proportional to the square root of \( l \)). So using a shorter rod (decreasing \( l \)) will decrease the period. Using a smaller or larger mass has no effect, and using a longer rod would increase the period.
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He could use a shorter rod.