Determine the initial acceleration of the 15-kg block

AI Thread Summary
To determine the initial acceleration of a 15-kg block under different tensions (T = 23 N and T = 26 N), the forces acting on the block must be analyzed. The normal force is calculated by summing forces in the y-direction, but confusion arises regarding the application of tension and the cosine of the angle. The weight of the block is a critical force that must be included in the calculations. Clarification is needed on the definition of normal force and the role of gravitational force (G) in the equations. Understanding these concepts is essential for accurately solving the problem.
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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