3. A simple pendulum is a weight on the end of a string or rod, which when given an initial push, swings back and forth under the influence of gravity. The period T of a pendulum is the time taken for two swings (left to right and back again). The formula for the period is T = 27 dT (a) Find d g where is the length of the pendulum (in meters) and g is the acceleration due to gravity (in m/sec²). Note that g is a positive constant. lo zulev lie (b) When the length of the pendulum increases, does the period increase or decrease? Justify your answer. al beur nob

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