When a cricket ball hits a cricket bat at high speed it can cause a standing wave to form on the bat. In one such example, the handle of the bat moved with a frequency of 60 Hz with an amplitude of 2.8 mm.
The vibrational movement of the bat handle can be modelled on simple harmonic motion.
a. State the conditions for simple harmonic motion.
b. Calculate the maximum acceleration of the bat handle.
c. Given that the part of the bat handle held by the cricketer has a mass of 0.48 kg, calculate the maximum force produced on his hands.
d. The oscillations are damped and die away after about five complete cycles.
Sketch a displacement–time graph to show the oscillations.