(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

https://online-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/spring09/homework/10/three_cylinders/6.gif [Broken]

Three identical, solid, uniform density cylinders, each of mass 17 kg and radius 1.67 m, are mounted on frictionless axles that are attached to brackets of negligible mass. A string connects the brackets of cylinders #1 and #3 and passes without slipping over cylinder #2, whose bracket is attached to the ledge. Cylinder #1 rolls without slipping across the rough ledge as cylinder #3 falls downward.

This system is released from rest from the position shown -- with cylinder #3 at a height of 4.7 m above the ground.

Q) How fast is cylinder #3 moving just before it hits the ground? (v=?)

2. Relevant equations

3. The attempt at a solution

For Q1, i tried to use Newton's second law.

While doing it,

a= mg-T from #3

RT = I*[tex]\alpha[/tex]

or RT = 0.5*m*R^2*[tex]\alpha[/tex]

And i used alpha as (a/R)

Then i got T=0.5Ma

When substituting this into the first equation, i got 'a' as 17.55 which seems to be wrong..

I think i did something wrong in replacing alpha as (a/R)...

But i can't find it exactly...

Please Could someone help me out here?

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# Homework Help: Rotational Kinematics and Energy

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