Vertical Circles/Work-related Physics

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SUMMARY

This discussion focuses on the application of physics principles to solve problems involving vertical circles and inclined planes. The first problem involves calculating the resultant force on a 0.30 kg mass swinging in a vertical circle with a radius of 1.6 m and a tension of 8.0 N at an angle of 50 degrees. The second problem requires determining the work done by friction on a 4 kg block moving down a 37-degree incline with a horizontal force of 10 N applied. Lastly, the discussion includes identifying the correct free body diagram for a rock swinging in a vertical circle.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of circular motion dynamics
  • Familiarity with work-energy principles
  • Ability to analyze free body diagrams
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  • Study the principles of centripetal force in vertical circular motion
  • Learn how to calculate work done by friction in inclined plane problems
  • Explore free body diagram techniques for various motion scenarios
  • Review the concepts of kinetic energy and its transformations
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Physics students, educators, and professionals in engineering or mechanics who are looking to deepen their understanding of forces in circular motion and inclined planes.

physixnot4me
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What formula do i apply to the following/theories?

(1) a 0.30 kg mass attached to the end of a string swings in a vertical circle (R=1.6m). At an instant when theta=50 degrees, the tension in the string is 8.0N. what is the magnitude of the resultant force on the mass at this instant?

(2) a 4kg block is lowered down a 37 degree incline a distance of 5m from point A to point B. A horizontal force (F=10N) is applied to the block between A and B. the kinetic energy of the block at A is 10J and at B is 20J. How much work is done on the block by the force of friction between A and B?

(3)A rock attached to a string swings in a vertical circle. Which free body diagram could correctly describe the force(s) on the rock when the string is in one possible horizontal position?

**DIAGRAMS ARE ATTACHED** for all of the above questions.
 

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