
Concept explainers
A basketball player dribbles a ball with a steady period of T seconds. Is the motion of the ball periodic? Is it

Answer to Problem 1CQ
Explanation of Solution
The motion is periodic when the motion is repeated in the equal intervals of time.
A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.
Thus, the motion of the ball is a periodic motion.
The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.
A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.
Thus, the motion is not simple harmonic motion.
Conclusion:
Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.
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