Determine the initial acceleration of the 15-kg block

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SUMMARY

The discussion focuses on determining the initial acceleration of a 15-kg block under two tension scenarios: T = 23 N and T = 26 N. The participants emphasize the importance of correctly identifying the normal force and summing forces in both the y-direction and x-direction. Key concepts include the application of Newton's second law and the role of gravitational force in the calculations. The confusion around the normal force and the use of trigonometric functions like cos(30) highlights common misunderstandings in physics problem-solving.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of forces acting on objects, including tension and weight
  • Familiarity with trigonometric functions in physics
  • Basic concepts of normal force in mechanics
NEXT STEPS
  • Study the application of Newton's second law in various scenarios
  • Learn how to resolve forces into components using trigonometric functions
  • Explore the concept of normal force in different contexts
  • Practice solving problems involving tension and acceleration in pulley systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators seeking to clarify common misconceptions in force dynamics.

javii
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Homework Statement


Determine the initial acceleration of the 15-kg block if (a) T = 23 N and (b) T = 26N. The system is initially at rest with no slack in the cable, and the mass and friction of the pulleys are negligible.
I have attached a picture of the problem.

The Attempt at a Solution


a)
I know, that there is a normal force, that I need to find.
I do that by setting the sum of forces in y-direction = 0
0=m*T*cos(30)+N
then I get N=0 ?
I don't think that is correct.
B)
I don't know how to solve this part either.
 

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What's the definition of normal force?
 
Where did you come up with mTcos30. That doesn't make sense to me. It doesn't make sense that you are multiplying mass times the tension and it doesn't make sense why you are using cos30. And you forgot one of the forces in y direction - the weight. But starting with summing forces in y direction is good. And then do x direction.

Edit: By the way, what is "G"?
 

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