Tension

AB is a string whose one end A is fixed at the highest point of a ring placed in vertical plane. C is the center of the ring. At other end B of the ring, is attached a bead of mass m , wich can slide along the ring.If the bead is in equilibrium at B nd the string is taut then fInd the tension in the string .

6 Answers

1
hacker ·

T=2mg*cos(theta)

23
qwerty ·

We get

Tsin\theta=mgcos2\theta

and ans is given as T = 2mgcos\theta

isnt it wrong ??? how are they not considering the case sin\theta = 0 ??

and i feel sin\theta = 0 is the only possible case.

1
hacker ·

ohk now i got which sin @=0 u were talking of.......see in thth case

T=0
but N=mg....whats the problem??

1
Anirudh Kumar ·

i hope image is clear .

23
qwerty ·

@ learning , dont u think at sin theta = 0 ,
A,C,B will be on the same line ?? why are u taking the bead outside the circle ??? there is no point in doing that.

@ anirudh tnx for posting solution , i realized my mistake , ( didnt consider Normal force ) [4]

23
qwerty ·

and learning , sintheta = 0 is possible.

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