Static force equilibrium problem involving simply pully syst

In summary: Can you please provide a different link or upload an image? Thank you.In summary, the former student of mechanics only has access to a scale with a capacity of 120 lbs and a small 20-lb spring dynamometer. By exerting a pull on the rope, he discovers that when the dynamometer reads 19 lbs, the scale reads 96 lbs. Using the equation ΣF=0, the student calculates his correct weight to be 95 lbs.
  • #1
J-dizzal
394
6

Homework Statement


A former student of mechanics wishes to weigh himself but has access only to a scale A with capacity limited to 120 lbs and a small 20-lb spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that B registers 19 lb, the scale A reads 96 lb. What is his correct weight?
[/B]
http://edugen.wileyplus.com/edugen/courses/crs7925/art/qb/EAT_1314936802947_0_5416955130664096.jpg

Homework Equations


ΣF=0

The Attempt at a Solution


20150703_115323_zpsnkhqktuf.jpg
 
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  • #2
Take more care to only add all the forces acting on an object. If a weight is only acting through a tension, then you add only the tension not the weight too.
 
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  • #3
Dr. Courtney said:
Take more care to only add all the forces acting on an object. If a weight is only acting through a tension, then you add only the tension not the weight too.
yes of course. ΣFy= -19-96+4TB-TA=0 thanks Dr
 
  • #4
J-dizzal said:

Homework Statement


A former student of mechanics wishes to weigh himself but has access only to a scale A with capacity limited to 120 lbs and a small 20-lb spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that B registers 19 lb, the scale A reads 96 lb. What is his correct weight?
[/B]
http://edugen.wileyplus.com/edugen/courses/crs7925/art/qb/EAT_1314936802947_0_5416955130664096.jpg

Homework Equations


ΣF=0

The Attempt at a Solution


[ IMG]http://i1164.photobucket.com/albums/q562/falsovero/20150703_115323_zpsnkhqktuf.jpg[/PLAIN]
Unfortunately, we can't open that link from Wiley without a username/password.
 

FAQ: Static force equilibrium problem involving simply pully syst

What is a static force equilibrium problem involving simply pulley systems?

A static force equilibrium problem involving simply pulley systems is a type of physics problem that involves calculating the forces acting on a system of pulleys in order to determine the equilibrium state of the system. This type of problem is commonly used in introductory physics courses to help students understand the principles of mechanics and how forces interact with each other.

How do I solve a static force equilibrium problem involving simply pulley systems?

To solve a static force equilibrium problem involving simply pulley systems, you will need to identify all the forces acting on the system, including any external forces and the tension forces in each pulley. You will then need to use Newton's laws of motion and the principle of equilibrium to set up and solve equations for each force. It is important to draw a clear and accurate diagram of the system to help you visualize the forces and their directions.

What are the key principles involved in solving a static force equilibrium problem involving simply pulley systems?

The key principles involved in solving a static force equilibrium problem involving simply pulley systems are Newton's laws of motion and the principle of equilibrium. Newton's first law states that an object at rest will remain at rest and an object in motion will remain in motion unless acted upon by an external force. The principle of equilibrium states that the forces acting on an object must balance each other out for the object to be in a state of equilibrium.

What are some common mistakes when solving a static force equilibrium problem involving simply pulley systems?

Some common mistakes when solving a static force equilibrium problem involving simply pulley systems include not accurately representing the direction and magnitude of forces in the diagram, not considering all the forces acting on the system, and not setting up and solving the equations correctly. It is important to carefully read and understand the problem and to double check your work to avoid these mistakes.

How can I use the solution to a static force equilibrium problem involving simply pulley systems in real-life situations?

The principles and techniques used to solve a static force equilibrium problem involving simply pulley systems can be applied to real-life situations where forces are acting on a system of pulleys. For example, understanding how to calculate the tension in a rope or cable can be useful in engineering and construction projects, such as building bridges or elevators. It can also be helpful in understanding the mechanics of everyday objects, such as bicycles or weightlifting equipment.

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