Help Me Solve Rotational Kinetic Energy Problem

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SUMMARY

The discussion focuses on calculating the rotational kinetic energy of a 0.2 kg cylinder rolling down a 15-degree inclined plane after traveling 80 cm. Participants emphasize using energy conservation principles, noting that both translational and rotational kinetic energy must be considered. The moment of inertia plays a crucial role in the calculations, and geometry is necessary to determine the change in elevation of the cylinder during its descent.

PREREQUISITES
  • Understanding of rotational kinetic energy and its formula
  • Knowledge of moment of inertia for a solid cylinder
  • Familiarity with energy conservation principles
  • Basic geometry to calculate changes in elevation
NEXT STEPS
  • Study the formula for rotational kinetic energy, KE_rot = (1/2)Iω²
  • Learn how to calculate the moment of inertia for different shapes, focusing on cylinders
  • Explore energy conservation in mechanical systems, particularly in rolling motion
  • Practice problems involving inclined planes and rolling objects to reinforce concepts
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rolling motion and energy conservation principles.

brad sue
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Hi Please I would like to have some help with this problem:
A cylinder of mass .2 kg rolls without slipping down an inclined plane of 15 degree.
What is its rotational kinetic energy after it rolls 80cm?
I tried the formula W=Kf - Ko but It does not bring me to the solution.
Thank you for our help
 
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Use energy conservation and note that the cylinder has both translational and rotational kinetic energy. You'll need to use a little geometry to determine the change in elevation of the cylinder and don't forget to use the moment of inertia in your rotational KE calculation.
 

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