Dynamics question related to conservation of string

In summary, the conversation is about a problem involving two blocks, A and B, connected by a cord. The question asks for the velocity of block A when block B is moved 300mm/s to the right. The equation for the cord length is given as 2xb-3xa=constant, but the person does not understand it. They suggest that the equation should be xb + (xb-xa) +2xa= constant and asks for help in understanding the problem. They mention being able to solve similar problems, but not this particular one.
  • #1
edgarpokemon
93
1

Homework Statement


http://tinypic.com/r/10f5ni8/9
http://[PLAIN]http://i66.tinypic.com/10f5ni8.png [Broken]

Homework Equations


I have a problem understanding this problem. It asks for the velocity of block A when block B is moved 300mm/s to the right. The equation for the cord length is given as 2xb-3xa=constant.

The Attempt at a Solution


I don't understand the equation at all. wouldn't the total cord of the length be xb + (xb-xa) +2xa= constant? help! i understand how to get velocities and all the problems similar to this one, but expect this one :(
 
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Q1: What is the principle of conservation of string in dynamics?

The principle of conservation of string states that the total length of a string remains constant when subjected to external forces. This means that the length of the string cannot be created or destroyed, it can only be transferred from one part of the string to another.

Q2: How is the principle of conservation of string applied in dynamics?

In dynamics, the principle of conservation of string is applied when analyzing the motion of objects connected by strings or ropes. It is used to determine the tension in the string and the movement of the objects based on the forces acting on them.

Q3: Can the principle of conservation of string be violated?

No, the principle of conservation of string is a fundamental law of physics and cannot be violated. It has been verified through numerous experiments and is a key concept in understanding the behavior of objects connected by strings.

Q4: How does the mass of an object affect the conservation of string?

The mass of an object has no effect on the conservation of string. The principle remains the same regardless of the mass of the objects connected by the string. However, the mass can affect the tension in the string and the resulting motion of the objects.

Q5: What are some real-life examples of the conservation of string in dynamics?

There are many real-life examples of the conservation of string in dynamics, such as a yo-yo, a pulley system, or a swing. In all of these cases, the length of the string remains constant while the objects connected by the string move in response to external forces.

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