How do I calculate the maximum height of a pendulum swing?

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SUMMARY

The discussion centers on calculating the maximum height of a pendulum swing involving a 1.5kg mass and a 2.0m string. At the lowest point of the swing, the tension in the string is 20N. To determine the maximum height, one must apply principles of physics, specifically the relationship between tension, gravitational force, and potential energy. A free body diagram (FBD) is essential for visualizing the forces acting on the mass during its oscillation.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with gravitational force calculations
  • Knowledge of potential energy and kinetic energy concepts
  • Ability to draw and interpret free body diagrams (FBD)
NEXT STEPS
  • Learn how to calculate gravitational force acting on a mass using the formula F = mg
  • Study the principles of energy conservation in pendulum motion
  • Explore the dynamics of uniform circular motion and its application to pendulums
  • Practice drawing free body diagrams for various physical scenarios
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding pendulum dynamics and energy conservation principles.

kenny521
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Homework Statement


A pendulum consists of a 1.5kg mass swinging at the end of a string of length 2.0m. At the lowest point in the swing the tension in the string is equal to 20N. To what maximum height above this lowest point will the mass rise during its oscillation?


Homework Equations


I'm not sure.

The Attempt at a Solution


Idk where to start.
 
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kenny521 said:

Homework Statement


A pendulum consists of a 1.5kg mass swinging at the end of a string of length 2.0m. At the lowest point in the swing the tension in the string is equal to 20N. To what maximum height above this lowest point will the mass rise during its oscillation?


Homework Equations


I'm not sure.

The Attempt at a Solution


Idk where to start.

Start with the relevant equations. What is the equation that relates the force on an object that is in uniform circular motion? What is different about a pendulum -- what extra force(s) are in play?

Draw a free body diagram (FBD) for the mass at the bottom part of the swing...
 

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