Calculating Chain Velocity Through Point Particle System

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SUMMARY

The discussion focuses on calculating the chain velocity of a metal link chain with a total mass of 6 kg, subjected to a constant pulling force of 67 N. The chain straightens to a length of 0.9 m and is pulled a total distance of 2.9 m. The key formula used to determine the final velocity is derived from kinematics: v(final)^2 = v(initial)^2 + 2*a*d, where acceleration (a) is calculated using F = m*a. The center of mass of the chain moves 2.45 m during this process.

PREREQUISITES
  • Understanding of Newton's Second Law (F = m*a)
  • Basic knowledge of kinematic equations
  • Familiarity with concepts of mass and force
  • Ability to perform calculations involving acceleration and velocity
NEXT STEPS
  • Study kinematic equations in-depth, focusing on their applications in physics
  • Learn about the dynamics of point particle systems
  • Explore the effects of friction on motion and how to account for it in calculations
  • Investigate real-world applications of chain dynamics in mechanical systems
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the dynamics of point particle systems.

fball558
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chain velocity??

Homework Statement



A chain of metal links with total mass M = 6 kg is coiled up in a tight ball on a low-rriction table. you pull on a link at one end of the chain with a constant force F = 67 N. Evntually the chain straightens out to its full length L = 0.9 m, and you keep pulling until you have pulled your end of the chain a total distance d = 2.9 m, consider the point particle system. what is the speed of the chain at this instant?

i know in the point particle system the center of mass move 2.45 m. you still have the 67 N force ect.. but not sure how to find velocity? i know i can find acceleration using F = m*a
but then what do i do with the a to find v? i know there is some relationship and when i look it up on google it does not explain it really well so hopeing you can.
thanks for the help!
 
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never mind i got it now.

it is
v(final)^2 = v(inital)^2 + 2*a*d
 

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