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Acceleration of a Ball Up an Incline 378–379 (Journal Article)

By: Material type: TextTextSeries: American Association of Physics Teachers ,American Institute of Physics, Volume 61, Number 5Publication details: Washington , DC American Association of Physics Teachers May 2023Description: 378–379 pISSN:
  • 0031-921X
Subject(s): DDC classification:
  • 530.071
Online resources:
Contents:
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Summary: Abstract- A ball that rolls on an incline can remain at rest or accelerate up the incline if the incline itself is accelerating upward. A simple experiment is described to demonstrate the effect, and the results are compared with the theoretical model described by De Luca et al1. The linear acceleration of a ball that rolls without slipping down an inclined plane is given by the well-known formula a = g sin θ/(1 + k), where θ is the angle of the incline, Icm = kmR2 is the moment of inertia of the ball, m is the ball mass, R is the ball radius, and k = 2/5 for a solid, uniform ball. There are many papers and textbooks describing the acceleration of an object down an inclined plane, but only a few describe the acceleration of an object up an inclined plane.2,3 An...
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Abstract-

A ball that rolls on an incline can remain at rest or accelerate up the incline if the incline itself is accelerating upward. A simple experiment is described to demonstrate the effect, and the results are compared with the theoretical model described by De Luca et al1.

The linear acceleration of a ball that rolls without slipping down an inclined plane is given by the well-known formula a = g sin θ/(1 + k), where θ is the angle of the incline, Icm = kmR2 is the moment of inertia of the ball, m is the ball mass, R is the ball radius, and k = 2/5 for a solid, uniform ball. There are many papers and textbooks describing the acceleration of an object down an inclined plane, but only a few describe the acceleration of an object up an inclined plane.2,3 An...

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