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An L shaped uniform rod of mass 2M and l...

An `L` shaped uniform rod of mass `2M` and length `2L (AB = BC = L)` is held as shown in Fig. with a string fixed between `C` and wall so that `AB` is vertical and `BC` is horizontal. There is no friction between the hinge and the rod at `A`.
What will be the reaction between hinge and rod at point `A`?

A

`sqrt(65)(Mg)/4`

B

`2Mg`

C

`sqrt(17)(Mg)/4`

D

`sqrt(17)(Mg)/2`

Text Solution

Verified by Experts

The correct Answer is:
D
`T_(1)=2M,T_(2)=T=(Mg)/2`
Net reaction `=sqrt(T_(1)^(2)+T_(2)^(2))=sqrt((2Mg)^(2)+(Mg/2)^(2))=(sqrt(17_Mg))/2`
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Knowledge Check

  • An L shaped uniform rod of mass 2M and length 2L (AB = BC = L) is held as shown in Fig. with a string fixed between C and wall so that AB is vertical and BC is horizontal. There is no friction between the hinge and the rod at A . Find the tension in the string

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    `(Mg)/3`
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    `(Mg)/4`
    C
    `Mg`
    D
    `(Mg)/2`

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    A
    `tan^(-1)(1/3)`
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    B
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