Calculating the Center of Mass & Force of Water on Half-Cylinder

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SUMMARY

The discussion focuses on calculating the center of mass (COM) and the force exerted by water on a solid half-cylinder submerged in a lake. The half-cylinder has a radius of 1 meter and a length of 5 meters, with a constant density denoted as d. The center of mass is determined to be at the geometric center due to uniform density. Additionally, participants address the calculation of hydrostatic pressure on the lateral circular face of the half-cylinder, which requires understanding the definition and implications of lateral surfaces in fluid mechanics.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Knowledge of center of mass calculations
  • Familiarity with fluid mechanics terminology
  • Basic geometry of cylinders
NEXT STEPS
  • Study hydrostatic pressure calculations for submerged objects
  • Learn about the geometric properties of cylinders in fluid contexts
  • Explore the concept of center of mass in various shapes
  • Investigate the implications of constant density in physical problems
USEFUL FOR

Students in physics, engineers working with fluid dynamics, and anyone involved in calculating forces on submerged structures.

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A solid half-cylinder of radius 1 meters and length of 5 meters lies under 50 meters of
water at the bottom of a lake. The cylinder is made of a material of constant density d.

1. Find the center of mass.

I said that the COM will be in the center because there is a constant density.

2. What is the force exerted by the water on one of the lateral circular faces of the half
cylinder?

I'm having trouble understanding this part of the question. What exactly is a "lateral circular face?"
 
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Is there a reason why no one is helping me? Is it because I haven't "shown enough work" on a problem I don't know how to solve or even start?
 
Anyone?
 

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