A question on Newton's laws and tension

In summary, the conversation discusses a problem involving a railway engine pulling two carriages with equal mass and uniform acceleration. The tension in the coupling between the engine and the first carriage is denoted as T, and the conversation aims to deduce the tension in the coupling between the first and second carriages. The individual has attempted to solve the problem by drawing free body diagrams and applying Newton's laws, but has not been able to obtain the correct answer of T/2. They are seeking help and are asked which two free body diagrams they have chosen.
  • #1
Charismaztex
45
0

Homework Statement



A railway engine pulls two carriages of equal mass with uniform acceleration. The tension in the coupling between the engine and the first carriage is T. Deduce the tension in the coupling between the first and second carriages.

Homework Equations





The Attempt at a Solution



I have tried drawing free body diagrams but have not fully understood how this problem works. I can't seem to get the correct answer T/2.


Any help appreciated,
Charismaztex
 
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  • #2
You have 2 unknowns (T_12 and a) , so you'll need to draw 2 free body diagrams, apply Newton's laws, and solve the simultaneous equations. Which 2 did you choose?
 

1. What are Newton's laws of motion?

Newton's laws of motion are a set of three principles proposed by Sir Isaac Newton in his "Philosophiæ Naturalis Principia Mathematica" (Mathematical Principles of Natural Philosophy) in 1687. These laws describe the fundamental concepts of classical mechanics and explain how objects move in response to forces.

2. Can you explain Newton's first law?

Newton's first law, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will continue to move in a straight line at a constant speed, unless acted upon by an external force. In other words, objects will maintain their state of motion unless a force is applied to change it.

3. How does Newton's second law relate to tension?

Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of tension, this means that the greater the force applied to an object, the greater the acceleration will be. This is why tension is often used to accelerate objects, such as in a pulley system.

4. What is tension in physics?

In physics, tension is a force that is transmitted through a string, rope, cable, or any other type of flexible material. It is a pulling force that acts in opposite directions on both ends of the material and is caused by an external force pulling on the material. Tension is an important concept in understanding the behavior of objects and systems.

5. How do Newton's laws and tension relate to each other?

Newton's laws and tension are closely related as they both deal with the concept of forces and their effects on objects. Newton's laws explain how forces cause objects to move, while tension is a specific type of force that can cause objects to accelerate. In many cases, tension is used to apply forces to objects and manipulate their motion in accordance with Newton's laws.

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