Determining Scale Readings on an Atwood Machine

In summary, the reading on each spring scale in an Atwood Machine will equal the force of gravity acting on each attached mass. For Scale 1, the reading will be 7.84 N and for Scale 2, the reading will be 3.92 N. This is assuming a massless, frictionless ideal pulley and using Newton's 2nd law to solve for the tension force. The system is also assumed to be accelerating.
  • #1
doug1
9
0

Homework Statement



Two masses, measuring 800g and 400g respectively, are attached to spring scales and an Atwood Machine. What will the reading of each scale be?

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Homework Equations



Fg = mg

The Attempt at a Solution



I think that the reading on each spring scale will equal the force of gravity acting on each attached mass.

For Scale 1:

Reading = Fg = mg
= (0.8kg)(9.8N/kg) = 7.84 N

For Scale 2:

Reading = Fg = mg
= (0.4kg)(9.8N/kg) = 3.92 N

Is this correct?
 
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  • #2
Can't open the attachment, but assuming a massless frictionless ideal pulley (yes??), the tension in the rope as measured by the scale must be the same on both sides of the pulley. You will need to draw a free body diagram for each mass to identify the forces acting on each, then use Newton's 2nd law on each to get 2 equations to solve for the tension force (scale reading). Note that the system is accelerating.
 

Related to Determining Scale Readings on an Atwood Machine

What is an Atwood Machine?

An Atwood Machine is a simple device used to study the effects of gravity and tension on objects. It consists of two masses connected by a string or pulley, with one mass hanging freely and the other attached to a hanging weight. By measuring the scale readings of the masses, one can determine the acceleration due to gravity and other physical properties.

How do you determine the scale readings on an Atwood Machine?

To determine the scale readings on an Atwood Machine, you need to measure the weight of each mass and the tension in the string or pulley. The scale reading for the hanging mass will be its weight minus the tension, while the scale reading for the attached mass will be its weight plus the tension.

What is the relationship between the scale readings on an Atwood Machine and the acceleration due to gravity?

The scale readings on an Atwood Machine are directly related to the acceleration due to gravity. As the mass of the hanging weight increases, the scale reading for the attached mass will increase, and vice versa. This relationship is described by the equation F = ma, where F is the tension in the string, m is the mass of the attached weight, and a is the acceleration due to gravity.

Why is it important to determine the scale readings on an Atwood Machine?

Determining the scale readings on an Atwood Machine is important because it allows scientists to accurately measure the effects of gravity and tension on objects. This information is essential for understanding the laws of motion and for conducting experiments in various fields, such as physics and engineering.

What are some possible sources of error when determining scale readings on an Atwood Machine?

Some possible sources of error when determining scale readings on an Atwood Machine include friction in the pulley or string, inaccuracies in the measurement of mass or tension, and external forces acting on the system. It is important to minimize these errors by using precise measuring tools and conducting multiple trials to obtain an average value.

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