Question

23. If pulleys shown in the diagram are smooth and
massless and a, and a, are acceleration of blocks
of mass 4 kg and 8 kg respectively, then
8 kg
(Smooth surface)
4 kg|
(1) a, = 22
(3) 2a, = ar
(2) a, = 222
(4) a, = 492
​

Answer 1

Final Answer : (b)

Method -1 :
Steps:
1) If the wire joining, 8kg and pulley is displaced 'x' distance in forward direction.
Then, with connecting 4kg and pulley will move '2x'distance in forward direction as wire in lower part is fixed.

=> This similar holds for acceleration as



=>

Method - 2
1) Since, wire in lower part is fixed, so it's acceleration is 0.
By Pulley Constraint,


Hence,Option 2 is answer.


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