How Does Newton's Second Law Apply to a Bird Sitting on a Wire?

In summary, the tension in the wire when a bird of weight W sits on it is not infinity, but rather a large value that is greater than the weight of the bird. This is due to the wire's slight droop under the weight of the bird.
  • #1
vkash
318
1

Homework Statement



fill in the blanks.
when a bird of weight W sits on a stretched wire, The tension in the wire is__________

Homework Equations



Force(external)=mass*aceeleration

The Attempt at a Solution



tension should approach to infinity
https://docs.google.com/document/d/1jAxRY0XgAlTG_MBPJJXgmmoBuoqs8og73eew_j0wWmM/edit?hl=en_US
 
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  • #2
vkash said:

Homework Statement



fill in the blanks.
when a bird of weight W sits on a stretched wire, The tension in the wire is__________

Homework Equations



Force(external)=mass*aceeleration

The Attempt at a Solution



tension should approach to infinity
https://docs.google.com/document/d/1jAxRY0XgAlTG_MBPJJXgmmoBuoqs8og73eew_j0wWmM/edit?hl=en_US

What is your question / difficulty ?
 
Last edited by a moderator:
  • #3
PeterO said:
What is your question / difficulty ?

is my answer correct.
My answer is infinity.
 
  • #4
vkash said:
is my answer correct.
My answer is infinity.

Clearly it can't be. IF the wire was able to be exactly horizontal between the poles, the tension would be infinity - meaning the wire will never be completely horizontal: it will sag slightly [even without the bird]
The fact the wire droops only slightly means the tension is quite large - certainly greater than the weight of the bird.
 
  • #5


The tension in the wire can be calculated using Newton's laws of motion. According to Newton's second law, the external force acting on an object is equal to its mass multiplied by its acceleration. In this case, the external force is the weight of the bird, which can be represented as W. The acceleration of the bird is negligible since it is sitting still on the wire. Therefore, the tension in the wire would be equal to the weight of the bird, W. This is because the upward force exerted by the wire must be equal to the downward force of the bird's weight in order for the bird to remain in equilibrium. Therefore, the tension in the wire would not approach infinity, but rather be equal to the weight of the bird.
 

1. What are Newton's three laws of motion?

Newton's three laws of motion are: 1) An object in motion will stay in motion and an object at rest will stay at rest unless acted upon by an external force. 2) The force applied to an object is equal to its mass multiplied by its acceleration. 3) For every action, there is an equal and opposite reaction.

2. How do Newton's laws of motion apply to everyday life?

Newton's laws of motion apply to everyday life in many ways. For example, the first law explains why objects keep moving or stay still unless something acts on them. The second law can be seen in the way objects accelerate or decelerate when a force is applied. The third law is evident in actions such as pushing off the ground to walk or jump, or even in the recoil of a gun after firing a bullet.

3. What is the difference between mass and weight according to Newton's laws of motion?

Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. According to Newton's second law, weight is directly proportional to mass, meaning that an object with a greater mass will experience a greater force of gravity. However, the amount of matter in an object (its mass) remains constant regardless of gravity or location, whereas weight can change depending on the strength of gravity.

4. How do Newton's laws of motion relate to the concept of inertia?

Newton's first law, also known as the law of inertia, states that objects will remain in their state of motion unless acted upon by an external force. This means that objects with more mass (greater inertia) will require a greater force to change their motion. In other words, the more mass an object has, the more resistance it has to changes in its motion.

5. Can Newton's laws of motion be applied to objects in space?

Yes, Newton's laws of motion can be applied to objects in space. In fact, these laws were originally developed to explain the motion of celestial bodies such as planets and moons. The laws still hold true in the vacuum of space, where there is no friction or air resistance to affect the motion of objects.

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