Finding the Maximum Height of a Pendulum Swing

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SUMMARY

The discussion centers on calculating the maximum height of a pendulum swing using principles of energy conservation. A 40 kg mass on a 43 cm string swings with a speed of 1.6 m/s at its lowest point. By applying the conservation of mechanical energy, the maximum height can be determined using the formula: h = (v^2) / (2g), where g is the acceleration due to gravity (9.81 m/s²). The calculated maximum height above the lowest point is approximately 0.13 meters.

PREREQUISITES
  • Understanding of basic physics concepts, particularly energy conservation.
  • Familiarity with pendulum mechanics and motion.
  • Knowledge of gravitational acceleration (g = 9.81 m/s²).
  • Ability to manipulate algebraic equations for solving height calculations.
NEXT STEPS
  • Study the principles of conservation of energy in mechanical systems.
  • Learn about pendulum dynamics and the factors affecting their motion.
  • Explore the derivation and application of energy equations in physics.
  • Investigate real-world applications of pendulum mechanics in engineering and design.
USEFUL FOR

Students preparing for physics labs, educators teaching mechanics, and anyone interested in understanding the dynamics of pendulum motion and energy conservation principles.

bcalkins
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Hello,
I have a physics lab tomorrow and have to answer this question to be admitted in. We haven't begun to talk about Pendulums in lecture yet, so I have NO idea where to start. Here's the question:
A mass of 40 kg suspended from a 43-cm long light string forms a simple pendulum. The mass swings through the lowest point of its trajectory with a speed of 1.6 m/s. To what maximum height above the lowest point will it rise (in m)? Neglect air resistance.

Could you PLEASE walk me through how to solve this? I've looked online but can't seem to find an equation for determining the maximum height. Thank you!
 
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Think about how pendulum energy oscillates between potential energy and kinetic energy.
 

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