How can the tension in a wire change on either side of a pulley?

In summary, the conversation discusses a problem involving a pulley system with a 12kg box, 5kg weight, and a 2kg pulley. The question asks to find the tension in the wire on both sides of the pulley, and the answer provides different tensions on each side due to the pulley's mass and need for torque to provide angular acceleration. Further questions include finding the acceleration of the box and the horizontal and vertical components of the force exerted on the pulley's axle.
  • #1
tey
1
0

Homework Statement



A 12kg box resting on a horizontal, frictionless surface is attached to a 5kg weight (hanging off the side of the table) by a thin, light wire that passes over a frictionless pulley. The pulley has a shape of a uniform solid disk of mass 2kg and a diameter of .5m. After the system is released, find the tension in the wire on both sides of the pulley

The answer gives different tensions in the wire on either side of the pulley. How is that possible?

Homework Equations



F = ma, torque = I*angular_acceleration


The Attempt at a Solution



(a) Tension between 12kg box and pulley = 32.7N, Tension between pulley and 5kg weight is 35.4N.
 
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  • #2
tey said:

Homework Statement



A 12kg box resting on a horizontal, frictionless surface is attached to a 5kg weight (hanging off the side of the table) by a thin, light wire that passes over a frictionless pulley. The pulley has a shape of a uniform solid disk of mass 2kg and a diameter of .5m. After the system is released, find the tension in the wire on both sides of the pulley

The answer gives different tensions in the wire on either side of the pulley. How is that possible?
For an 'ideal' pulley of negligible friction and mass, the wire tension is the same on both sides of the pulley. Not so for a pulley with mass, because there must be a net torque acting on it to provide it with angular acceleration, per you relevant equation. below.

Homework Equations



F = ma, torque = I*angular_acceleration


The Attempt at a Solution



(a) Tension between 12kg box and pulley = 32.7N, Tension between pulley and 5kg weight is 35.4N.
Please show an attempt at a solution using free body diagrams.
 
  • #3
I am also having problems understanding this. There is also more parts to the question.

(a) Tensions were correct.

(b) what is the acceleration of the box, after the system is released.

(c)After the system is released, find magnitude of the horizontal and vertical components of the force that the axle exerts on the pulley.

Diagram:
pulleywithrotation.png


Other information:
I = .036
torque = 8.82 N

I really don't know where to start.
 

FAQ: How can the tension in a wire change on either side of a pulley?

What is tension change in a wire?

Tension change in a wire refers to the change in the amount of force or pull that is acting on the wire. This change can be caused by various factors such as temperature, weight, or external forces.

How does tension change affect the wire?

Tension change can have a significant impact on the wire. It can cause the wire to stretch or shrink, which can affect its overall strength and durability. It can also cause the wire to vibrate or oscillate, which can affect its performance and stability.

What causes tension change in a wire?

There are several factors that can cause tension change in a wire, including changes in temperature, changes in weight or load, and the application of external forces such as wind or pressure. These changes can affect the wire's molecular structure and alter its physical properties.

How is tension change in a wire measured?

Tension change in a wire can be measured using a tension meter or a strain gauge. These devices can accurately measure the amount of force or tension acting on the wire and provide precise readings to monitor any changes over time.

How can tension change in a wire be managed?

To manage tension change in a wire, it is essential to understand the factors that can cause it and take preventive measures. This can include using high-quality wires that can withstand changes in temperature and weight, avoiding external forces, and regular maintenance and inspection to identify any potential issues before they become a problem.

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