Frictional Forces without coefficient

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SUMMARY

The discussion revolves around calculating the frictional force between Block A (4.13 kg) and the table in a system involving a frictionless pulley and Block B (2.17 kg). The user incorrectly assumes constant speed, leading to a miscalculation of the tension force as -26.56 N. The correct approach requires applying Newton's second law to account for the acceleration of the system, which is influenced by the gravitational force acting on Block B (2.71 kg) and the net forces on Block A.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of kinematic equations (V=d/t, a=v/t)
  • Familiarity with concepts of tension in pulley systems
  • Basic principles of friction and its calculation
NEXT STEPS
  • Study the application of Newton's second law in multi-body systems
  • Learn how to calculate tension in pulley systems with friction
  • Explore the effects of acceleration on frictional forces
  • Review kinematic equations for objects in free fall
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Physics students, educators, and anyone involved in mechanics or engineering who seeks to understand the dynamics of frictional forces in pulley systems.

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Homework Statement


Block A (4.13kg) is on a table with a massless chord attached and draped over a frictionless pulley and the other end of the chord is attached to Block B (2.17kg). The system
starts from rest. When the 2.71 kg mass has fallen through 0.388 m, its downward speed is
1.28 m/s.
The acceleration of gravity is 9.8 m/s2 .

What is the frictional force between the 4.13 kg mass and the table? Answer in units
of N.

Homework Equations


F=ma V=d/t a=v/t
Not sure what other equations to use.

The Attempt at a Solution


I assume the speed to be constant, so there is no acceleration. I calculate the force of tension on block A to be equal to the force of gravity on block B: Ft=-mg=(2.71kg)*(-9.8m/s)=-26.56N

I assumed that 26.56N would be the force of tension on Block A and the force of friction would simply be the opposite of that: -26.56N. That definitely isn't the answer and I pretty much knew that because I didn't use all the info given. I'm stuck at this point and any help would be appreciated. Thanks
 
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Block A is falling - why would you assume it's a constant speed?
 

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