Particle Mechanics exercises. Please help.

In summary, the problem involves two particles connected by a string passing over a smooth pulley. The system is released from rest and the string breaks when both particles have a speed of u m/s. The question asks for the magnitude of acceleration and tension in the string, as well as the difference in height between the particles at two different points in time. Further details and equations are required to come to a solution.
  • #1
hyorin.choi
1
0

Homework Statement


Two particles A and B, of masses 2m kg and m kg respectively, are connected by a light inextensible string which passes over a fixed smooth pulley. The system is released from rest, with both portions of the string vertical and taut, while A and B are at the same height. Find the magnitude of the acceleration of the particles and the tension in the string.
The string breaks when the speed of each particle is u m/s. Find, in terms of u, the difference in height between the particles A and B,
a. when the string breaks.
b. when B reaches it s highest point, assuming that A has not reach the ground and B has not reached the pulley.
 
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  • #2
Hello HC, welcome to PF :smile: !

So far for the problem statement. Interesting.

Now for the rest of the template. The guidelines require an effort on your part to come to a solution. That also helps us to provide more useful assistance: you don't need the answer, you need the exercise !

Homework Equations

The Attempt at a Solution

 

Related to Particle Mechanics exercises. Please help.

1. What is Particle Mechanics?

Particle Mechanics is a branch of physics that deals with the motion and behavior of particles, which can range from atoms and molecules to larger objects such as planets and stars.

2. What are some common exercises in Particle Mechanics?

Some common exercises in Particle Mechanics include calculating the trajectory of a projectile, determining the forces acting on a system of particles, and solving problems involving collisions and conservation of energy.

3. How do I approach solving Particle Mechanics exercises?

Solving Particle Mechanics exercises involves breaking down the problem into smaller components, identifying the relevant physical principles and equations, and applying them to solve for the unknown quantities. It is important to carefully define the system and accurately represent the forces acting on the particles.

4. What are some real-world applications of Particle Mechanics?

Particle Mechanics has many real-world applications, including predicting the motion of satellites and spacecraft, understanding the behavior of fluids and gases, and designing structures such as bridges and buildings to withstand external forces.

5. Are there any resources available to help with Particle Mechanics exercises?

Yes, there are many resources available to help with Particle Mechanics exercises, including textbooks, online tutorials, and practice problems. You can also seek help from your instructor or a tutor if you are struggling with a particular exercise.

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