Determine the distance each object will move

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Homework Help Overview

The problem involves two objects with masses of 4.00 kg and 6.00 kg connected by a light string over a frictionless pulley. The tasks include determining the tension in the string, the acceleration of each object, and the distance each object will move in the first second of motion from rest.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the forces acting on the masses, including weight and tension, and explore how these relate to acceleration and net force. There is mention of calculating tension and acceleration, with some participants expressing confusion about the process and seeking further clarification.

Discussion Status

The discussion is ongoing, with participants attempting to clarify their understanding of the forces involved and how to approach the calculations. Some guidance has been offered regarding the relationship between the forces and the motion of the masses, but there is still uncertainty among participants.

Contextual Notes

Participants assume both masses are hanging, and there is a focus on the need to understand the forces at play before proceeding with calculations. Some participants express difficulty in grasping the concepts involved.

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Homework Statement



Two objects with masses of 4.00 kg and 6.00 kg are connected by a light string that passes over a frictionless pulley.
(a) Determine the tension in the string.
(b) Determine the acceleration of each object.
(c) Determine the distance each object will move in the first second of motion if both objects start from rest.


Homework Equations



W=mg

The Attempt at a Solution



I tried to find the weight of both masses and then add it, but it didn't work, I tried to substract it and nothing...I really don't know what else can I do
 
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patrilu5 said:

Homework Statement



Two objects with masses of 4.00 kg and 6.00 kg are connected by a light string that passes over a frictionless pulley.
(a) Determine the tension in the string.
(b) Determine the acceleration of each object.
(c) Determine the distance each object will move in the first second of motion if both objects start from rest.


Homework Equations



W=mg

The Attempt at a Solution



I tried to find the weight of both masses and then add it, but it didn't work, I tried to substract it and nothing...I really don't know what else can I do

I assume both masses are hanging.

Do part (b) first.

The weight force of one mass is trying to accelerate the total mass in one direction.
The weight force of the other mass is trying to accelerate the total mass in the other direction.
One of those forces is stronger than the other, so a smaller net force will cause the final motion.
You get the Tension by then considering the two forces [gravity and tension] acting on either mass. You could calculate it twice [each mass] to confirm you get the same answer, and therefore have the correct answer.
 


sum of Fy=T-W..
F=ma,
compare with fx, get T in term of acce.
u'll get acce, then solve T..

once u get acce n T, I think u know how to find distance..
 


PeterO said:
I assume both masses are hanging.

Do part (b) first.

The weight force of one mass is trying to accelerate the total mass in one direction.
The weight force of the other mass is trying to accelerate the total mass in the other direction.
One of those forces is stronger than the other, so a smaller net force will cause the final motion.
You get the Tension by then considering the two forces [gravity and tension] acting on either mass. You could calculate it twice [each mass] to confirm you get the same answer, and therefore have the correct answer.

I really don't get it :( can you explain it with more details please
 

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