Finding Restoring Force for Simple Harmonic Motion: 700g Cylinder in Water

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SUMMARY

The discussion focuses on calculating the restoring force for a 700 g cylinder with a base area of 30 cm² and a height of 40 cm, which is floating upright in water. When a 50 g mass resting on top of the cylinder is removed, the change in buoyant force must be analyzed to determine the restoring force. The key to solving this problem lies in applying Archimedes' principle and understanding the relationship between buoyancy and weight in fluid mechanics.

PREREQUISITES
  • Understanding of Archimedes' principle
  • Basic knowledge of buoyancy and weight in fluids
  • Familiarity with simple harmonic motion concepts
  • Ability to perform calculations involving forces and areas
NEXT STEPS
  • Study Archimedes' principle in detail
  • Learn about buoyant force calculations in fluid mechanics
  • Explore the dynamics of simple harmonic motion
  • Review force equilibrium in floating objects
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics and simple harmonic motion, as well as educators looking for practical examples of buoyancy and restoring forces.

kimi70
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Homework Statement



a 700 g cylinder of base area a=30 cm^2 and height 40 cm is floating upright in water. A 50 g mass, resting on top of the cylinder is suddenly removed. find the restoring force.

Homework Equations


The Attempt at a Solution

 
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hi kimi70! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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