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Four rods are joined together to form a ...

Four rods are joined together to form a structure like alphabet M as showm in the figure.
`AB=a, AE=a, BX=CX=a//2`
Mass per unit length of the rod is `lambda`. The letter made of four rods is rotated about point C by `90^(@)`. Total shift in the position of centre of mass will be :

A

`(a)/(4)[2+sqrt(2)]`

B

`(a)/(4)[2-sqrt(2)]`

C

zero

D

`(a sqrt(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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