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

A mass M1 of 3kG is suspended from one corner by a ﬁxed rope, 1, and from another corner by a rope, 2 which passes over a pulley and is connected to a mass M2 of 2kG, and

suppose that at time t = 0 both masses are at rest and the angles made by the

ropes are each π/4 = 45 degrees. Neglect friction in the pulley and the mass of the rope.

This situation is not stable. The blocks will start to move. Please determine the

acceleration of mass 1.

A picture of this is on this page

http://phys.columbia.edu/~millis/1601/assignments/PHYC1601Fall2011Assignment4.pdf

2. Relevant equations

F= ma

3. The attempt at a solution

Okay so I was able to break up to the forces for both masses.

For the mass of 3 kgs:

Fy= (T1+T2)sin(45) - 30= 3ay

Fx= (T2-T1)cos(45)= 3ax

For the mass of 2 kgs:

Fy=T1-20= 2a

Also since the accelerations of both masses must be the same I know that:

ay^2 + ax^2 =a ^2

Also I'm supposed to use the fact that since one rope is attached to a wall it doesn't move so that the distance travelled only really happens with pulley.

I don't know what to do from here, any help would be greatly appreciated. Thank you.

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# Homework Help: Figuring out pullies, Please help me

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