Solid mechanics

  1. [​IMG]

    Ball A B
    Mass m 2m

    Length of tread is 2R where R is the radious of the Circle.
    I have to find the tension on the tread and angles
    I could have found the angles by assuming that the angle 1 and angle 2 are same
    but as balls' masses are different, the angles must be different as well, and if they are different i dont think i can find the angle...
    Any helps? Please TT
     

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  3. rl.bhat

    rl.bhat 4,433
    Homework Helper

    Ball comes rest when
    m1*g*sinθ1 = m2*g*sinθ2.
    It is given that m2 = 2m1
    So sinθ1 = 2*sinθ2.........(1)
    Length of the thread is 2R and radius is R.
    So (θ1 + θ2) = 2R/R = 2 rad.
    Put θ2 = (2 - θ1) in the eq.1 and solve for θ1.
     
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