A mass attached to a cord around a disk

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SUMMARY

The discussion revolves around a physics problem involving a frictionless pulley and a falling bucket. The key variables include a bucket mass of 1.50 kg, a pulley radius of 0.200 m, and a fall time of 3.00 seconds over a distance of 9.99 m. Participants emphasize the use of conservation of energy to determine the speed of the bucket, followed by differentiation to find acceleration, and finally applying Newton's second law to calculate the tension in the cord and the torque on the pulley.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with the concepts of torque and rotational dynamics
  • Knowledge of conservation of energy principles
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of conservation of energy in mechanical systems
  • Learn how to apply Newton's second law to rotational motion
  • Explore the relationship between torque and angular acceleration
  • Practice solving problems involving pulleys and mass systems
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This discussion is beneficial for physics students, educators, and anyone interested in understanding mechanics related to pulleys and forces in motion.

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Homework Statement



Imagine a frictionless pulley (a solid cylinder) of unknown mass M and radius r = 0.200 m which is used to draw water from a well. A bucket of mass m = 1.50 kg is attached to a massless cord wrapped around the pulley. The bucket starts from rest at the top of the well and falls for t = 3.00 s before hitting the water h = 9.99 m below the top of the well.

What is the tension in the cord?
What is the torque that is applied to the pulley due to the cord?

Homework Equations


Torque=force*radius
Tension=mass*g?


The Attempt at a Solution


 
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Hi disque! :smile:
disque said:
Torque=force*radius

Yes :smile:
Tension=mass*g?

No … use conservation of energy to find the speed, differentiate for the acceleration, then use good ol' Newton's second law to find the tension :wink:
 

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