What is the tension in the rope

In summary, the tension in the rope will be 0 when the box is at rest, since there is no net force acting on it. When the box is moving at a constant speed, the tension in the rope will also be 0, as there is no net force causing it to accelerate. However, when the box has a velocity and acceleration in the x-direction, the net force will be non-zero and will result in a non-zero tension in the rope. The exact value of the tension can be calculated using Newton's second law, F=ma.
  • #1
gbedenba
23
0

Homework Statement



A horizontal rope is tied to a 23 kg box on frictionless ice. What is the tension in the rope under each of the following conditions

a) the box is at rest.
b) the box moves at a steady 5 m/s
c) the box has Vx= 5 m/s and Ax = 5 m/s^2

Homework Equations





The Attempt at a Solution


got 0 for "a". that's right... don't know how to get the other ones.
 
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  • #2


gbedenba said:

Homework Statement



A horizontal rope is tied to a 23 kg box on frictionless ice. What is the tension in the rope under each of the following conditions

a) the box is at rest.
b) the box moves at a steady 5 m/s
c) the box has Vx= 5 m/s and Ax = 5 m/s^2

Homework Equations





The Attempt at a Solution


got 0 for "a". that's right... don't know how to get the other ones.
What's the net force acting on the block when it is at rest? What's the net force when it's moving at constant speed? What's the net force when it's accelerating?
 
  • #3


I am working on this as well. Jay, are you saying that according to Newton's 1st law there C will be 0 as well?
 

What is the tension in the rope?

The tension in a rope is the force that is exerted on the rope, pulling it taut. It is the result of an external force acting on the rope, such as the weight of an object hanging from the rope or the force applied by a person pulling on the rope.

How is the tension in a rope calculated?

The tension in a rope can be calculated using the formula T = F * cos(theta), where T is the tension, F is the force acting on the rope, and theta is the angle between the rope and the direction of the force. This formula assumes that the rope is massless and inextensible.

What factors can affect the tension in a rope?

The tension in a rope can be affected by various factors, including the magnitude and direction of the force applied to the rope, the weight of the object hanging from the rope, the angle of the rope, and the properties of the rope itself (such as its elasticity and thickness).

Why is it important to know the tension in a rope?

Knowing the tension in a rope is important for understanding the stability and safety of a structure or system that involves the use of ropes. It can also help in determining the maximum weight that the rope can support without breaking.

How can the tension in a rope be controlled?

The tension in a rope can be controlled by adjusting the magnitude and direction of the force applied to the rope. This can be done by adding or removing weight from the rope, changing the angle of the rope, or changing the properties of the rope itself (such as its length or elasticity).

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