Relationship of acceleration in two-pulley system

[jake jungle]

Homework Statement

What is the relationship between a1 and a2
A.a1=a2
B.a1=2a2
C.a2=2a1
D.a1=a2√2
E.a2=a1√2
F.There is no simple relationship between the two acceleration

Homework Equations

a = F/m

The Attempt at a Solution

I am quite confused with the second pulley , so the weight of m2 is divided to 2 tension through the second pulley , but i can't find what is the magnitude of the upper tension ,therefore we can't find the lower tension or the acceleration either.
So i choose F as my answer , however i am not sure . Is my answer right ?.

 

[DEvens]

Conserve string.

 

[jake jungle]

Conserve string.

sorry i don't get it . can you be more specific , and which answer do you choose :D

 

[DEvens]

Really? That's not enough?

Ok. When mass m1 moves a distance of 1 unit, how far must the mass m2 move?

 

[jake jungle]

That's where i was confused.
If m2 goes a distance of x. Will m1 goes a distance of x/2 or 2x?

 

[haruspex]

That's where i was confused.
If m2 goes a distance of x. Will m1 goes a distance of x/2 or 2x?

Let the lengths of the horizontal portions be x (on the left), y (top right), z (lower right).
What equations relate them?

 

[terryds]

I have the same problem too

Let the lengths of the horizontal portions be x (on the left), y (top right), z (lower right).
What equations relate them?

I think that it is Δx = Δy + Δz
Since Δy is the same as Δz, so Δx = 2Δy = 2Δz
So, a₂ = 2a₁, right ?

 

[BvU]

Try again.

 

[terryds]

Try again.

Hmm..
I tried and got the same answer, a₂ = 2a₁
Please explain the correct answer to me

EDIT :
Tried again and get a₁ = 2a₂

 

[haruspex]

Tried again and get a₁ = 2a₂

Good.

 

[jake jungle]

Hmm..
I tried and got the same answer, a₂ = 2a₁
Please explain the correct answer to me

EDIT :
Tried again and get a₁ = 2a₂

sr i didnt understand , since S = 1/2 at^2
then if Δx=2Δy .
then ax should be equal 2 ay ?
then a2 = 2a1 ?

 

[haruspex]

sr i didnt understand , since S = 1/2 at^2

That's irrelevant to how the lengths x, y and z relate.

then if Δx=2Δy .

It isn't.
What combinations of lengths x, y and z are known to be constant?