Analyzing Mass A's Direction of Motion

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Homework Help Overview

The discussion revolves around analyzing the motion of two masses, A and B, connected by a rope on an inclined plane. Participants explore the dynamics of the system, particularly focusing on the direction of motion and the forces acting on each mass, including tension and friction.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to analyze the system's equilibrium and the implications of tension forces on the motion of masses A and B. Questions arise regarding the role of friction, the direction of forces, and how to approach the problem analytically.

Discussion Status

Several participants have offered insights into the analysis of forces and the implications of ignoring friction. There is an ongoing exploration of how to determine the direction of motion based on the static and dynamic situations, with some noting ambiguities in the problem statement regarding the time for mass A to slide a certain distance.

Contextual Notes

Participants note the importance of defining positive directions for forces and the potential confusion arising from the problem's phrasing. There is also mention of the need to consider the effects of friction and the relationship between the accelerations of the two masses.

  • #31
Another way to get the initial direction is to consider the height of the system's centre-of-gravity (CoG).

When released from rest, the CoG must move downwards, converting gravitational potential energy to kinetic energy (and to heat).

This happens when the height of the heavier object (B) decreases and the height of the lighter object (A) increases.

(If the CoG moved upwards, this would violate the conservation of energy: gravitational potential energy, kinetic energy and heat would need to be created out of nowwhere.)
 
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  • #32
Orodruin said:
There is also friction between the blocks. This of course represents a 3rd law pair but once you straighten the string they act in the same direction because one is turned 180 degrees.
Yes, of course, this makes much more sense. I assumed without thinking that the frictions would cancel like the tensions although it didn't sit well with me because of what happens when the incline is frictionless but there is friction between blocks. My excuse of the day is that my wife was pressuring me to do something for her so I posted in a hurry.
 
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  • #33
kuruman said:
My excuse of the day is that my wife was pressuring me to do something for her so I posted in a hurry.
Add to end of post:
"This post is dedicated to my dear beloved wife."
:wink:
 
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