- #1
Saitama
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Homework Statement
If acceleration of A is 2m/s2 to the left and acceleration of B is 1m/s2 to left, then acceleration of C is (see attachment 1)
A)1m/s2 upwards
B)1m/s2 downwards
C)2m/s2 downwards
D)2m/s2 upwards
Ans: A
Homework Equations
The Attempt at a Solution
(see attachment 2, I hope the labels are clear)
Let the radius of smaller pulleys be r and that of bigger pulleys be R. I have marked the lengths of different portions of string. L is the length of total string.
[tex]L=x_1+2 \times \pi r+x_2+x_3+2\times \pi R/4+2x_4[/tex]
Differentiating twice w.r.t time
[tex]0=\ddot{x_1}+\ddot{x_2}+\ddot{x_3}+2\ddot{x_4}[/tex]
Now I am confused as to what should be the value of ##\ddot{x_1}##.
Any help is appreciated. Thanks!