Physics problem finding tension of a string

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SUMMARY

The discussion centers on calculating the tension in a string connecting two blocks with different masses, specifically 1.3 kg and 2.5 kg, on a frictionless incline at an angle of 31 degrees. The coefficient of kinetic friction between the first block and the horizontal surface is 0.16. The initial calculations yielded a tension of 4.7 N, which was deemed incorrect as it was less than the normal force (Fn). The correct approach involves using the equations T - μFn = m1a and T = -m2a + m2g sin(θ) in conjunction to accurately determine the tension.

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  • Understanding of Newton's laws of motion
  • Familiarity with tension and normal force concepts
  • Knowledge of friction coefficients and their application
  • Ability to solve equations involving multiple forces and accelerations
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  • Review the derivation of tension in systems with pulleys and inclined planes
  • Study the effects of friction on motion in connected systems
  • Learn how to apply Newton's second law to multiple bodies
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This discussion is beneficial for physics students, educators, and anyone interested in understanding dynamics involving tension in connected systems, particularly in the context of inclined planes and friction.

nothingatall
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Homework Statement



In Fig. 6-50, block 1 of mass 1.3 kg and block 2 of mass 2.5 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at θ = 31o. The coefficient of kinetic friction between block 1 and the horizontal surface is 0.16. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string?


Homework Equations


Maybe T-muFN=m1a
Fn=m1a=12.74
Combined equation: T=-m2a+m2gsin(theta)


The Attempt at a Solution


My T came out to be 4.7N but since it is smaller than my Fn I know it can't be correct.
What equation will give me the correct answer?
 
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nothingatall said:

Homework Statement



In Fig. 6-50, block 1 of mass 1.3 kg and block 2 of mass 2.5 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at θ = 31o. The coefficient of kinetic friction between block 1 and the horizontal surface is 0.16. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string?


Homework Equations


Maybe T-muFN=m1a
Yes, for the block on the horizontal surface
Fn=m1a=12.74
Yes, for the block on the horizontal surface, where a = g in this case.
Combined equation: T=-m2a+m2gsin(theta)
This is the equation for the block on the incline. It is not a combined equation. Use this equation in combination with your first 2 equations to solve for the tension.

The Attempt at a Solution


My T came out to be 4.7N but since it is smaller than my Fn I know it can't be correct.
What equation will give me the correct answer?
Mt T comes out slightly larger, but why do you think T needs to be greater than Fn?
 

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