In a compound pendulum the mass is distributed along its length rather than being a 'point' mass as in a simple pendulum.

when used to strike a ball, a cricket bat behaves like a compound pendulum. The bat has a sweet spot. When the ball hits this spot there is a maximum momentum transfer from the bat to the ball and the bat oscillates in the batsman's hands.

The diagram above shows a cricket ball pivoted at the centre of the batsman's grip. The position of the sweet spot is also marked on the bat.

It is suggested that the distance/between the pivot and the sweet spot is the same as the length of a simple pendulum with the same period of oscillation as the bat.

Describe how you would use the pivoted bat shown in the diagram to investigate whether the distance from the sweet spot to the pivot is equal to the pivot equal to the length of the equivalent simple pendulum.

You should consider the uncertainties in the measurements for the bat and the pendulum in your answer.



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