Problem Check: Equilibrium of Particles

In summary, the conversation discusses determining the mass of each block in a system where a continuous cable with a total length of 4 m is wrapped around small pulleys. The springs are stretched 300 mm and the system is in equilibrium when the distance between the pulleys is 2 m. The conversation also mentions that the weight of the pulleys and cords can be neglected.
  • #1
hdp12
68
2

Homework Statement


A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d=2 m.

The Attempt at a Solution



I just need someone to tell me if I've done this correctly. Thank you!
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  • #2
it stopped as a square! (very special case) where the spring tensions are equal the weights. looks right.
there will be lots of "accidentally correct" (or lucky guess, then check) answers to this one!
 

Related to Problem Check: Equilibrium of Particles

1. What is the concept of equilibrium of particles?

The concept of equilibrium of particles refers to a state in which the forces acting on a particle are balanced, resulting in no net acceleration. In other words, the particle remains at rest or continues moving at a constant velocity.

2. How is equilibrium of particles represented mathematically?

Equilibrium of particles is represented by the equilibrium equations, which state that the sum of all forces acting on a particle in the x, y, and z directions must equal zero. This can be expressed as ΣFx = 0, ΣFy = 0, and ΣFz = 0.

3. What are the two types of equilibrium of particles?

The two types of equilibrium of particles are static equilibrium and dynamic equilibrium. Static equilibrium occurs when the particle is at rest, while dynamic equilibrium occurs when the particle is moving at a constant velocity.

4. How can we determine if a particle is in equilibrium?

A particle is in equilibrium if the sum of all forces acting on it is equal to zero and the sum of all torques acting on it is also equal to zero. Additionally, the particle must have a constant velocity or be at rest.

5. What is the significance of equilibrium of particles in physics?

Equilibrium of particles is an important concept in physics as it helps us understand the stability of objects and the conditions for them to remain in a state of rest or constant motion. It is also essential in analyzing and solving problems related to forces and motion in various systems.

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