My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum


Reply
 
LinkBack Thread Tools Display Modes
November 1st, 2016, 03:53 AM   #1
Member
 
Joined: May 2016
From: Ireland

Posts: 84
Thanks: 1

pulley system

Two particles A and B each of mass m are connected by a light inextensible string passing over a light, smooth, fixed pulley. Particle A rests on a rough plane inclined at α to the horizontal, where tan α =5/12 . Particle B hangs vertically 1 m above the ground. The coefficient of friction between A and the inclined plane is .5
The system is released from rest.
(ii) How far will A travel after B strikes the ground?

i know how to work out most of this question. the only thing i am confused on is what is the acceleration of mass of A when B strikes the ground. i would of said it was g/13 but it is -11g/13 . all i need to know is the acceleration of B.
markosheehan is offline  
 
November 1st, 2016, 06:34 AM   #2
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,302
Thanks: 1130

when B hits the ground, the tension force in the string becomes zero, therefore the net force on particle A is the force of kinetic friction + force component of gravity down the incline ...

$ma = -\mu mg\cos{\alpha} - mg\sin{\alpha}$

$a = -\mu g\cos{\alpha} -g\sin{\alpha}$

$a = -\dfrac{1}{2}g \cdot \dfrac{12}{13} - g \cdot \dfrac{5}{13} = -g\cdot \dfrac{11}{13}$
skeeter is online now  
November 1st, 2016, 07:22 AM   #3
Member
 
Joined: May 2016
From: Ireland

Posts: 84
Thanks: 1

Thanks thats what I needed to know tension is zero when b hits the ground
markosheehan is offline  
Reply

  My Math Forum > College Math Forum > Applied Math

Tags
pulley, system



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
pulley system markosheehan Applied Math 0 October 22nd, 2016 07:22 AM
Using Newton's laws etc. pulley type. devour19 Applied Math 9 March 22nd, 2016 03:34 PM
Very Simple Pulley Question bitsnbitting Physics 1 February 3rd, 2014 10:01 PM
HELP !! Masses on inclined plane with pulley and friction !! GBR1026 Physics 1 March 25th, 2013 06:15 AM
HELP !! Masses on inclined plane with pulley and friction !! GBR1026 Applied Math 0 January 1st, 1970 12:00 AM





Copyright © 2017 My Math Forum. All rights reserved.