Pulleys everywhere

Two blocks are arranged as shown in the figure. Find the ratio of a 1 a 2 \frac{a_{1}}{a_{2}} .

1 4 6 8

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1 solution

I.E. Vermodov
Jan 3, 2021

Reversing the directions of accelerations will give the same ratio. If M2 goes up with acceleration a2, then the acceleration of left-most pulley will be 3a2, hence a1 will be 6 a2.

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