Center of mass of a uniform wire

[Jahnavi]

Homework Statement

Homework Equations

The Attempt at a Solution

I am having trouble understanding the setup as well as how to approach this problem .

I am not understanding the orientation of the two pieces of the wire .

They make angle 60° with each other , but then what does it mean when the question states that the center of mass lies below A ?

How are the two pieces of wires arranged ?

 

[stockzahn]

I suppose that is a two-dimensional problem. Neglect the wire BC in the first place. Where, by means of a horizontal axis and the length AB, the center of mass of the inclined wire AB would be located?

 

[Doc Al]

I am not understanding the orientation of the two pieces of the wire .

Looks to me like a wire that's just bent at point B at the given angle.

They make angle 60° with each other , but then what does it mean when the question states that the center of mass lies below A ?

Consider the horizontal component of the center of mass. Express that mathematically and you can solve for the quantity asked for.

 

[Doc Al]

Hint: Treat pieces BC and BA separately. Where are their centers of mass? Then find the center of mass of the combination.

 

[Jahnavi]

I suppose that is a two-dimensional problem.

Looks to me like a wire that's just bent at point B at the given angle.

Sorry ! I was wrongly interpreting this as a 3 -dimensional problem . I was considering the center of mass to be below the plane formed by the two pieces of wires .

Thanks for the clarification . I think I should now be able to solve the problem .