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In the problem no. 34 of concepts of physics HC Verma-1 bit(a) , why is the acceleration of block B is half the acceleration of block A? And why is it that distance travelled by block B is half the distance travelled by block A?
Asked by sakethrockzz007 | 04 Aug, 2023, 23:17: PM
Let l1 be the length of rope between the point c and d . Let l2 be the length of the rope between e and f .

Let l3 be the length of rope between a and b .

If block-A moves down by a distance y , then length of rope between a and b becomes ( l3 + y )

Then length of rope between c and f reduces by y because total length is constant .

Hence length of rope between c and d reduces by y/2 , similarly length of rope between e and f reduces by y/2 .

Hence block-B raises by a distance y/2.

Magnitude of displacement yB of block-B is half of magnitude of displacement yA of block-A

Similarly for velocity v

Similarly for accelerationa

Answered by Thiyagarajan K | 07 Aug, 2023, 15:09: PM

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