Is a Basketball Dribble Simple Harmonic Motion?

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SUMMARY

The discussion clarifies that a basketball dribble does not qualify as simple harmonic motion (SHM). For motion to be classified as SHM, the position and velocity must follow a sine curve, which is not the case with a basketball dribble. The key condition for SHM is that the restoring force must be directly proportional to the displacement and act in the opposite direction, as described by the equation F = -kx. The basketball's motion, influenced by gravity and player control, does not meet these criteria.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with the equation F = -kx
  • Knowledge of sine and cosine functions
  • Basic concepts of forces and motion in physics
NEXT STEPS
  • Study the characteristics of simple harmonic motion in detail
  • Explore the mathematical representation of SHM using sine and cosine functions
  • Investigate the differences between SHM and other types of periodic motion
  • Learn about the effects of external forces on oscillatory motion
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of motion and oscillations.

Lalasushi
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hey guys I am having trouble figuring out if something is undergoing simple harmonic motion. i know that for an object to be executing simple harmonic motion, its position and velocity must follow a sin curve...but I am still having trouble. ok for example, a question on a worksheet said "a basketball player dribbles a ball with a steady period of T seconds. is the motion simple harmonic?" the answer was no. but i don't understand. how do u tell if its postiion and velocity follows a sin curve? can anyone explain to me?
 
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When the particle is changing direction, does its velocity go to zero? If so, you're looking at something that could be simple harmonic.
 
If the force on an object is directly propotional to the displacement of an object, but in a direction which is opposite to the displacement, then the object will undergo Simple Harmonic motion.
ie,
F=-kx
Now, can you see why the basketball bouncing is not Simple Harmonic motion?
 

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