Solving Atwood/Pulley Problems: Masses, Acceleration & Distance

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SUMMARY

The discussion focuses on solving Atwood/Pulley problems involving a 140 gram mass and a 110 gram mass connected by a massless string over a massless pulley with friction. The frictional force is given as 0.147 N, and the total weight of the system is 250 g. Key calculations include determining the system's acceleration after release, the distance the 140 g mass falls in 1.5 seconds, and the minimum mass difference required for the pulley system to exhibit non-zero acceleration when the total mass is 250 g.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concepts of tension and friction in pulleys
  • Knowledge of kinematic equations for uniformly accelerated motion
  • Basic algebra for solving equations involving multiple variables
NEXT STEPS
  • Calculate the acceleration of the Atwood machine using the equation T1 + T2 = (m1 + m2)g + (m2 - m1)a
  • Apply kinematic equations to determine the distance fallen by the 140 g mass over 1.5 seconds
  • Investigate the effects of varying mass differences on the acceleration of the pulley system
  • Explore the impact of different frictional forces on the overall system dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for practical examples of Atwood/Pulley problems in teaching scenarios.

BayernBlues
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Homework Statement



140 gram mass & a 110 g mass are connected by a masless string passin over a massles pully which has a frictional resist. f=0.147 N when M (total weight of 2 masses) = 250 g.

-What's the acceleration of the system after release?
-How far does the 140 g mass fall during a 1.5 s interval following release from rest
-what's the minimum mass differnce for which the pulley syst. will have a non-0 acceler. when released from rest when M = 250 g

Homework Equations



Somethin like this?

T1 + T2 = (m1 + m2)g + (m2-m1)a

The Attempt at a Solution



The third question's my problem. For the first one, I'm guessin it'd be right just to use the equation to solve for a and T1/T2 would be the weight of each mass multiplied by gravity's constant? Would you use kinetic equations once you find acceleration to find how far the mass would fall during 1.5 s?
 
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If there were no friction the resultant force acting on the system would have been the difference between the weight of the larger mass and the smaller mass (the tensions would have been the same and canceled each other out since they are opposing each other). With friction the resultant force is reduced according to the magnitude of the friction (that is the one tension is less than the other by the size of the friction).
 

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