rotational motion

A wire is bent in form of as shown in the fig. It is suspended from the pt. where curved portion starts ( curved portion is semicircular) .Find the value of a in terms of r such that the straight portion remains horizontal.

4 Answers

1
Ricky ·

Ah , first please verify my answer - Is it " A = 2 √ 2 R " ?

66
kaymant ·

@ricky, are you sure?

1
varun.tinkle ·

(back after a loooooooong time ... after my boards(10))
i Think this sum is more of a mathematical junkyard than physics........

so if i read the diagram right
then about the hinge the tourque of both the portions circular and straight should be 0 for equilibrium ...........

now the com of the wire is at a distance 2r/pie from or towards the left from the centre(in the diagram at a distance (r-2r/pie) the wieght can be assumed to act from this point

now taking the mass per unit length to be x....
therefore equationg torques

(x*pie*r)(the masss of circle)g(r-2r/pie)=(x*a)(the mass)*g*a/2

equate it and get the answer

6
AKHIL ·

got it

thnx varun...........

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