CBSE Class 11-science Answered
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?
![question image](https://images.topperlearning.com/topper/new-ate/639597964cd399a2cb61517.jpg)
Asked by sakethrockzz007 | 04 Aug, 2023, 23:17: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/047cfcaaafc3e738bb814f46f0bda05064d0ab9a5f51d0.08069815f2.png)
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 .
![begin mathsize 14px style l subscript 1 space plus space l subscript 2 space plus space l subscript 3 space equals space L space left parenthesis space l e n g t h space o f space r o p e space equals space c o n s tan t space right parenthesis end style](https://images.topperlearning.com/topper/tinymce/cache/ff4e5489428a9843f03d430bf99127c5.png)
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
![begin mathsize 14px style y subscript B space equals space 1 half y subscript A end style](https://images.topperlearning.com/topper/tinymce/cache/491d5f73c6114c9b5857e6f20f7a9703.png)
Similarly for velocity v
![begin mathsize 14px style fraction numerator d over denominator d t end fraction y subscript B space equals space 1 half fraction numerator d over denominator d t end fraction y subscript A
v subscript B space equals space 1 half v subscript A end style](https://images.topperlearning.com/topper/tinymce/cache/6c0ef08851253bfd5e65b5d27af0122f.png)
Similarly for accelerationa
![begin mathsize 14px style fraction numerator d over denominator d t end fraction v subscript B space equals space 1 half fraction numerator d over denominator d t end fraction v subscript A
a subscript B space equals space 1 half a subscript A end style](https://images.topperlearning.com/topper/tinymce/cache/d87a3ef5c9a40df83dc57db34bba7d36.png)
Answered by Thiyagarajan K | 07 Aug, 2023, 15:09: PM
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