Questions on Newton's Law of Gravitation

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SUMMARY

This discussion focuses on calculating the gravitational force between a ring and a rod, as well as between a disk and a rod, both positioned along their central axes. The gravitational force is determined using double integrals, as outlined in the referenced Physics Forums thread. Key concepts include the geometry of the ring and disk, and the application of Newton's Law of Gravitation. Participants emphasize the importance of showing work to arrive at the correct solutions.

PREREQUISITES
  • Understanding of Newton's Law of Gravitation
  • Knowledge of double integrals in calculus
  • Familiarity with the geometry of rings and disks
  • Basic principles of gravitational force calculations
NEXT STEPS
  • Study the application of double integrals in gravitational force calculations
  • Explore the geometry of mass distributions in gravitational problems
  • Review examples of gravitational force between different shapes
  • Investigate the implications of varying distances in gravitational force equations
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Students preparing for physics exams, educators teaching gravitational concepts, and anyone interested in advanced applications of calculus in physics.

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hi i have some questions about Newtons law of gravitation and i need complete answers coz these qwestion will be my second exam:
1.the gravitational force between a ring of raduis a and mass m and a rod of mass m and length l lies on the central axis of the ring and the distance is x between them
2.the gravitational force between a disk of raduis a and mass m and a rod of mass m and length l lies on the central axis of the disk and the distance is x between them
by using double integral
 
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You'll need to show some work first...as described in https://www.physicsforums.com/showthread.php?t=94379 .
 
This is basically the same procedure Dick and I laid out for you in a previous thread. The additional considerations are the geometry of the ring and disk rather than the rod.
 

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