Box on a table connected by cable(dynamic)

  • Thread starter MikeMai
  • Start date
  • Tags
    Box Table
In summary, the "Box on a table connected by cable(dynamic)" system is a mechanical setup used to demonstrate dynamic equilibrium. It consists of a box on a table connected to a fixed point by a cable, allowing for the observation of different forces acting on the system. The tension in the cable is directly related to the weight of the box and the angle at which it is pulled, and other forces such as friction and air resistance may also affect the box's motion. The term "dynamic" in this system refers to the constant motion and changing forces, making it relevant to real-world applications such as cranes and suspension bridges. Understanding this system can aid in the design and analysis of more complex structures and machines.
  • #1
MikeMai
5
0

Homework Statement


A box on a friction less table is connected by a cable to a second, hanging 10.0kg box. The cable has no mass, does not stretch and the pulley is friction less
.
m2 accelerates 2.0m/s/s downwards

Homework Equations


F= ma

The Attempt at a Solution


Fnet=m1a
T= M1a

Fnet=m2a
Fg-T = m2a

Is the acceleration for both equation the same, 2.0m/s/s?
 
Physics news on Phys.org
  • #2
Yes. Two masses are connected by a single cable. Hence they mast have the same acceleration.
 

1. What is a "Box on a table connected by cable(dynamic)" system?

The "Box on a table connected by cable(dynamic)" system is a simple mechanical setup used to demonstrate the concept of dynamic equilibrium. It consists of a box placed on a table with a cable connecting the box to a fixed point on the table. The box is able to move freely along the cable, allowing for the observation of different forces acting on the system.

2. How does the tension in the cable affect the box?

The tension in the cable is directly related to the weight of the box and the angle at which the cable is pulled. As the angle of the cable changes, the tension in the cable also changes, causing the box to move in different directions. When the tension in the cable is equal to the weight of the box, the system is in dynamic equilibrium and the box remains stationary.

3. What other forces are acting on the box?

In addition to the tension in the cable, there may be other forces acting on the box, such as friction and air resistance. These forces can affect the motion of the box and may need to be taken into account when analyzing the system.

4. What is the significance of the "dynamic" aspect in this system?

The term "dynamic" refers to the fact that the system is in motion and is constantly changing. The cable connecting the box to the table allows for the box to move in different directions, creating a dynamic equilibrium where the forces acting on the box are balanced.

5. How is this system relevant to real-world applications?

The "Box on a table connected by cable(dynamic)" system is a simplified version of real-world systems that involve dynamic equilibrium, such as a crane or a suspension bridge. Understanding the forces at play in this system can help engineers and scientists design and analyze more complex structures and machines.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
977
  • Introductory Physics Homework Help
Replies
5
Views
4K
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
7K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
2
Replies
38
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
7K
Back
Top