How Do Kinematics and Impulse Principles Apply in a Two-Particle Pulley System?

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Homework Help Overview

The discussion revolves around a two-particle pulley system involving kinematics and impulse principles. The problem presents a scenario where two masses are connected by a string over a pulley, and participants are exploring the dynamics of the system after the particles are released from rest.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of tension and acceleration for the particles, with some successfully addressing parts of the problem. Questions arise regarding the interpretation of "jerked into motion" and how to calculate the impulse experienced by the string. There is also a suggestion to analyze the velocities of the masses at specific moments, particularly when one mass hits the ground.

Discussion Status

Some participants have provided calculations for parts of the problem, while others are seeking clarification on the remaining parts. There is an ongoing exploration of the implications of the system's motion and the conditions under which impulse is calculated. Multiple interpretations of the problem are being discussed without reaching a consensus.

Contextual Notes

Participants note the absence of time information in the problem, which complicates the analysis of the motion and impulse. The original poster expresses uncertainty about the requirements for part (iii) of the question.

songoku
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Homework Statement


Two particles of masses 8 kg and 5 kg are connected to the two ends of a light inextensible string which passes over a fixed smooth pulley. Initially each of the two particles are held at a position which is 5 m above a horizontal ground. The objects are then released from rest. Assuming that the particles never reach the pulley, and also that the particles do not rebound when thhey strike the ground.

(i) find the tension in the string and the acceleration of each particle
(ii) find the distance above the ground of the point H, the highest point reached by the 5 kg mass
(iii) find the speed with which the system is jerked into motion and the impulse experienced by the string during the jerk.


Homework Equations


F = ma
Kinematics
Impulse = change in momentum
p = mv


The Attempt at a Solution


I'm able to do part (i) and (ii). For part (i), I got T = 800/13 N and a = 30/13 ms-2

I don't understand how to do the part (iii). What is the meaning of "which the system is jerked into motion"? I think maybe I have to find the speed when it moves for the first time, but no information about time given...

Thanks
 
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Find the velocities of masses when 8 kg mass hits the ground.
At that instant T becomes zero. 5 kg mass stops accelerating. That may be the point of jerk. After that 5 kg mass retards with g. You can find distance traveled by it before coming to rest.
 
Hi rl.bhat

Oh, that's the point of jerk. Then to find the impulse on the string, take the initlal velocity as the velocity of point of jerk and final velocity = 0?

Thanks
 
Can u solve the question ii/ and iii/ a bit clearly...THx
 

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