Tension of string between two blocks

In summary, the problem involves two blocks connected by a string and acted upon by two forces. To find the tension in the string, one must sum the forces in the x and y direction for both blocks and use the equation F=ma, where a is the acceleration of each block.
  • #1
stosw
21
0

Homework Statement


a 3.4 kg block A and 6.0 kg block Bvec are connected by a string of negligable mass. Force FA = (12 N) acts on block A; force FB = (24 N) acts on block B. What is the tension in the string?

http://img25.imageshack.us/img25/2610/imagepn.jpg

Homework Equations



F=ma

The Attempt at a Solution



I've tried adding the forces given because they're in the same direction. I've tried subtracting the forces, but that's obviously not how to go about doing this problem.

I've solved the acceleration for each block, but I honestly don't know what to do for this problem. Could someone give a hint or two at what to do? Thanks.
 
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  • #2
Do your some of forces for the x and y direction for both boxes.

Force of tension=mass1*a
 
  • #3


I would approach this problem by first considering the forces acting on each block individually. We know that there is a force of 12 N acting on block A and a force of 24 N acting on block B. These forces are in the same direction and therefore will result in a net force acting on the system.

Next, I would use Newton's second law, F=ma, to determine the acceleration of each block. We know the mass of each block, so we can calculate the acceleration of each block using the given forces.

Once we have the acceleration of each block, we can use the concept of Newton's third law, which states that for every action there is an equal and opposite reaction, to determine the tension in the string. The tension in the string will be the same for both blocks, as the string is connected and cannot stretch or compress.

To determine the tension in the string, we can use the equation F=ma for each block, substituting in the calculated acceleration and mass, and solving for the tension in the string. This will give us the total tension in the string between the two blocks.

In summary, to solve this problem, we need to consider the forces acting on each block individually, use Newton's second law to determine the acceleration of each block, and use Newton's third law to determine the tension in the string.
 

Related to Tension of string between two blocks

What is the tension of a string between two blocks?

The tension of a string between two blocks refers to the amount of force that is being applied to the string to keep it taut. It is a measure of the strength of the string and is often expressed in units of Newtons (N).

How is the tension of a string between two blocks calculated?

The tension of a string between two blocks can be calculated using the equation T = F/m, where T is the tension, F is the force applied to the string, and m is the mass of the string. Alternatively, it can also be calculated using the equation T = kx, where k is the spring constant of the string and x is the displacement of the string from its equilibrium position.

What factors affect the tension of a string between two blocks?

The tension of a string between two blocks can be affected by various factors such as the mass of the blocks, the force applied to the string, the length and elasticity of the string, and the angle at which the string is pulled. In general, an increase in any of these factors will result in an increase in tension.

Why is the tension of a string between two blocks important?

The tension of a string between two blocks is important because it helps determine the stability and equilibrium of the system. It also plays a crucial role in various applications such as in construction, engineering, and physics experiments.

How can the tension of a string between two blocks be manipulated?

The tension of a string between two blocks can be manipulated by changing any of the factors that affect it. For example, the tension can be increased by adding more mass to the blocks or by increasing the force applied to the string. It can also be decreased by decreasing the length of the string or by using a less elastic string.

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