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A thick rope of length 2L and linear mas...

A thick rope of length `2L` and linear mass density `9mu` is joined at `B` to a thin rope of length `L` and linear mass density `4mu`. The systems horizontally stretched by the two vertical wall `A` and `C`. Assuming `B` to be a node, find the minimum number of loops in the thick rope.

A

`1`

B

`2`

C

`3`

D

`4`

Text Solution

Verified by Experts

`2L=mxx(lambda_(1)//2)=(m)/(2f)sqrt((T)/(9mu))`
`L=nxx(lambda_(2)sqrt(2))=(n)/(2f)sqrt((T)/(4mu))`
`rArr m=3n=3xx1=3`
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