Look at figure 4
Two blocks are attached to mass-less ropes and pulleys that have negligible mass and negligible friction.
a. Find the connection between the tensions in the ropes.
b. Find the connection between the accelerations of the blocks.
c. Calculate acceleration of each block.
d. Calculate tension in each rope.
The Attempt at a Solution
I did FBD for pulleys and the masses.
For part a I got,
So here I said that T3=T4=T5.
T3=2(T2) (because T3= 2(T1) and T1=T2)
For part b,
The FBD for m= 20 kg gave me,
T2-W1sin30= m1a1 in the x-direction
and the FBD for m=10 gave me
W2sin45-T6=m2a2 in the x-direction.
My teacher told me something about finding the connection between the accelerations of the masses. He said that the if a pulley accelerates over a certain distance x then the other moves over the distance L-x where L is length of the rope. Something alone these lines and for one problem we did in class he found connection between accelerations like accofblock1=2accofblock2. Something like that. I wanted to know this. I know that if I know how to find this, I can go about the rest of the two parts pretty well. Any idea?