2-body problems-Need help calculating

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Homework Help Overview

The discussion revolves around a two-body problem involving a 20 kg block on a frictionless table and a 10 kg mass hanging from a pulley. Participants are exploring how to calculate the net force, acceleration, and tension in the cord connecting the two masses.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to understand how to calculate the net force and its relation to acceleration, expressing confusion about which values to use for the calculations. Some participants suggest drawing force diagrams and applying Newton's second law (F=ma) to each object. Others point out that the weight of the hanging mass is the only external force affecting the system.

Discussion Status

Participants are actively engaging with the problem, offering guidance on drawing diagrams and applying relevant equations. There is a focus on understanding the forces at play, but no consensus has been reached on a specific method or solution yet.

Contextual Notes

The original poster indicates uncertainty about how to derive necessary values for calculations, suggesting potential gaps in information or understanding of the problem setup.

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2-body problems--Need help calculating!

A 20 kg block (A) rests on a frictionless table; a cord attached to the block extends horizontally to a pulley at the edge of the table. A 10 kg mass (B) hangs at the end of the cord.
a) Clearly draw and label the force vectors acting on each object.
b) Calculate the acceleration of the block and mass.
c) Calculate the tension in the cord.
I do not understand how to calculate the Net force. I do know that I need the Net force to get the acceleration of the block and mass, because FNet= m * a.
Also, I need help on calculating the tension in the cord as well. I don't know which numbers to use or how to get numbers for the equation if they aren't a given...
Thanks so much!
-Genevieve
 
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Your starting point is to realize that the tension, T, in the connecting cord exerts a horizontal force,T, on the 20kg block and a vertical (up) force of T on the 10kg mass.
Draw this diagram and apply F=ma to each object. (simultaneous equations !)
 


Or... you could realize that there is only 1 external force... due to the WEIGHT of the hanging 10kg block, and this force accelerates all of the mass of the blocks. This will give you the acceleration straight away but you will then need to calculate the tension in the connecting string.
 


Genevieve, the first thing to do is to draw a picture, and "Clearly draw and label the force vectors acting on each object."

Show that drawing, please.

ehild
 

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