Another Doubt From Halliday Resnick Krane -- Puck on a string in circular motion

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SUMMARY

The discussion focuses on a physics problem from Halliday Resnick Krane, specifically Chapter 4, Problem #15, involving a puck on a frictionless table connected to a hanging mass via a string. The key concept is that the tension in the string, created by the weight of the hanging mass (M), provides the necessary centripetal force for the puck to maintain circular motion. An initial push is required to set the puck in motion, after which a steady state can be achieved due to the absence of friction. This system illustrates the relationship between tension, centripetal force, and circular motion dynamics.

PREREQUISITES
  • Understanding of circular motion principles
  • Knowledge of centripetal force and tension in strings
  • Familiarity with Newton's laws of motion
  • Basic concepts of frictionless surfaces in physics
NEXT STEPS
  • Study the concept of centripetal acceleration in circular motion
  • Explore the role of tension in various mechanical systems
  • Learn about the effects of friction in circular motion scenarios
  • Investigate real-world applications of circular motion principles
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of circular motion and tension in systems involving strings and masses.

vibha_ganji
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Hello! This is a problem from Halliday Resnick Krane (Chapter 4: Problem #15). “A puck is moving in a circle of radius r0 with a constant speed v0 on a level frictionless table. A string is attached to the puck, which holds it in the circle; the string passes through a frictionless hole and is attached on the other end to a hanging object of mass M.” What I don’t understand is how this system works. How does hanging a heavy mass through a table make the mass m on the table spin in a circle?
 
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Someone has given it an initial push sideways to make it circle as described. After a small time, absent friction, a steady state can ensue.
 
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The weight of the mass M causes tension in the string. The tension then acts as the centripetal force required for circular motion. As @hutchphd mentioned an initial push is required to start the circular motion.
 

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